Fractions and Decimals

Problem 101

Find the value of 7m7-m when m=79m=\frac{7}{9}. Express the answer as a fraction or whole/mixed number.

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Problem 102

Order the fractions and mixed numbers in ascending order: 32,114,114,278\frac{3}{2}, \frac{11}{4}, 1 \frac{1}{4}, 2 \frac{7}{8}

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Problem 103

Simplify the ratio 910:4:128\frac{9}{10} : 4 : \frac{12}{8} to its lowest terms.

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Problem 104

Julissa has 8 yards of fabric. Each blanket needs 23\frac{2}{3} yard of fabric. How many blankets can she make?

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Problem 105

Compare the values of 15\frac{1}{5} and 0.50.5. Determine which number is greater.

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Problem 106

Find the value of the fraction ff if 4f=124f = \frac{1}{2}.

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Problem 107

Find the simplified result of 35×45\frac{3}{5} \times 45.

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Problem 108

Évaluez l'expression fractionnaire 59÷49+13\frac{5}{9} \div \frac{4}{9}+\frac{1}{3}.

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Problem 109

Leilani's sixteenth note is 316\frac{3}{16} shorter than her classmate's note. Solve n116=316n-\frac{1}{16}=\frac{3}{16} to determine the note her classmate is singing.

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Problem 110

Simplify the expression (425)2×24÷(152)\left(\frac{4}{25}\right)^{2} \times 2^{4} \div\left(\frac{15}{2}\right).

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Problem 111

Simplify the product of 114\frac{1}{14} and 27\frac{2}{7}.

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Problem 112

Multiply the fractions (752)\left(\frac{7}{52}\right) and (1370)\left(\frac{13}{70}\right).

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Problem 113

Find time difference in hours between Andrew (5235 \frac{2}{3} hours) and Vanessa (3453 \frac{4}{5} hours) taking a test. Express answer in mixed number form.

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Problem 114

What fraction of students in a class of 258 passed a term test if 16 students failed? Express the answer in lowest terms.
242258\frac{242}{258}

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Problem 115

Lili a mangé quelle fraction du pâté entier si elle a mangé la moitié de 38\frac{3}{8} du pâté?

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Problem 116

Find the missing value in the equation 9/11=?/229 / 11 = ? / 22.

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Problem 117

Plot 2.252.25 and 4.754.75 on the number line.

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Problem 118

Mateo ate 3/8 of a pizza with 510 calories. Which equation can be used to find the total calories in the pizza? 38x=510\frac{3}{8} x=510

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Problem 119

Find the negative square root of 481\frac{4}{81}. Express the answer as a proper fraction, improper fraction, or whole number.

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Problem 120

Calculate the fraction of 5 out of 25 free throws made, then express the answer as a percentage.
525=15\frac{5}{25}=\frac{1}{5} 15×100=20%\frac{1}{5} \times 100 = 20\%

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Problem 121

Find the reciprocal of 716\frac{7}{16}. Options: 17\frac{1}{7}, 167\frac{16}{7}, 16, 716-\frac{7}{16}.

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Problem 122

To find the fraction of pizza each friend will get, solve for 16÷5\frac{1}{6} \div 5.

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Problem 123

Simplify the expression 85/1233485 / 12 - 3 \frac{3}{4}.

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Problem 124

Find the prime factorization of the numbers 225 and 315, then simplify the fraction 225315\frac{225}{315} by canceling common factors.

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Problem 125

Find the rational number among: 99\sqrt{99}, π\pi, 8.78654684598-8.78654684598 \ldots, 2.252.25.

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Problem 126

Find the value of the missing number in the equation 159=\frac{15}{9}=\square.

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Problem 127

Simplify the ratio 18:45:2418 : 45 : 24.

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Problem 128

Find the fraction of the whole when a whole is divided into 6 equal parts.

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Problem 129

Ell has completed 3/83/8 of his 88-lap race. Which number line represents this fraction?

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Problem 130

Find the sum of 12,23,16\frac{1}{2}, \frac{2}{3}, \frac{1}{6}, simplify the answer, and express it as a mixed number.

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Problem 131

Find the decimal equivalent of the repeating decimal 3.013.0\overline{1}.

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Problem 132

The will divides the estate: 14\frac{1}{4} to relatives, 35\frac{3}{5} of the remaining to Charity A. What fraction of the estate goes to Charity A?

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Problem 133

Simplify the division problem 74÷134\frac{7}{4} \div 1 \frac{3}{4} and select the correct answer.

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Problem 134

Compare numbers using >, <, or = and arrange them in increasing order. 8.008,8.08,8.081,8.098.008, 8.08, 8.081, 8.09 and 14.200,14.204,14.210,14.24014.200, 14.204, 14.210, 14.240.

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Problem 135

Find the sum or difference of 23-\frac{2}{3} and 14\frac{1}{4} in simplest form.

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Problem 136

Determine how many 61/4"61/4" pieces of 1/21/2' roundstock can be cut from a 48" piece, disregarding kerf waste.

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Problem 137

Solve the following decimal addition problems: a. 33 tenths ++ 44 tenths = ? tenths b. 1212 tenths ++ 99 tenths = ? tenths = ? one(s) tenth(s) c. 33 hundredths ++ 44 hundredths = ? hundredths d. 2727 hundredths ++ 77 hundredths = ? hundredths = ? tenths hundredths e. 44 thousandths ++ 33 thousandths = ? thousandths f. 3939 thousandths ++ 55 thousandths = ? thousandths = ? hundredths thousandths g. 55 tenths ++ 77 thousandths = ? thousandths h. 44 ones 44 tenths ++ 44 tenths = ? tenths i. 88 thousandths ++ 66 ones 88 thousandths = ? thousandths

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Problem 138

Add 8 thousandths and 6 ones 8 thousandths using the standard algorithm.

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Problem 139

Write 5÷85 \div 8 as a fraction and its equivalent decimal number.

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Problem 140

Arrange the given decimals in ascending order and assign the points to the most accurate number value. 4.1,2.7,2.5,4.2-4.1, -2.7, 2.5, 4.2

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Problem 141

Add two fractions: 27314-\frac{2}{7}-\frac{3}{14}. Enter the result as a mixed number.

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Problem 142

Simplify the expression (34×112)14\left(\frac{3}{4} \times 1 \frac{1}{2}\right)-\frac{1}{4}.

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Problem 143

Determine the correct inequality symbol to make the given expressions true. 0.050.0050.05 \square 0.005 0.05÷0.0050.05 \div \nabla 0.005

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Problem 144

Add or subtract 23(17)\frac{2}{3} - \left(-\frac{1}{7}\right).

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Problem 145

Joy reads 3/8 of a 352-page novel on Monday, 28 pages on Tuesday, and 1/4 of the novel on Wednesday. How many more pages until she finishes?

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Problem 146

Convert 195\frac{19}{5} to a mixed number in simplest form.

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Problem 147

Find the absolute value of 34\frac{3}{4}.

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Problem 148

Add, subtract, or compare two fractions: A marine biologist measured a fish 84/684/6 feet long and another 11/211/2 feet long. How much longer was the first fish? Express your answer as a fraction or whole/mixed number.

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Problem 149

Convert 354\frac{35}{4} to decimal form rounded to nearest thousandth.

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Problem 150

Find the fraction and percentage of people who said comedy films were their favourite in a pie chart with 10 equal slices, 4 of which represent comedy films.
a) Fraction = 410\frac{4}{10} b) Percentage = 410×100=40%\frac{4}{10} \times 100 = 40\%

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Problem 151

Find the number that makes the expression 45+x\frac{4}{5} + x a rational sum. Choose all that apply.

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Problem 152

Divide 5.6 pounds by 7 books to find the weight of each book.

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Problem 153

Estimate the proportion of Americans over 34 who smoke given a sample of 656 with 538 non-smokers.
656538656=1186560.180\frac{656 - 538}{656} = \frac{118}{656} \approx 0.180

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Problem 154

Solve for y in the equation 65=18y\frac{6}{5}=\frac{18}{y}.

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Problem 155

Divide 1491 \frac{4}{9} by 29-\frac{2}{9} and write the quotient in simplest form.

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Problem 156

Simplify the square root of (3/4)9(3/4)^9 as a power.

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Problem 157

Evaluate 8512613+4568 \frac{5}{12}-6 \frac{1}{3}+4 \frac{5}{6} and write the answer as a mixed number in simplest form.

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Problem 158

Determine which expression is equivalent to 1+2/31+2/3: 3/23/2, None, or 5/35/3.

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Problem 159

Create a word problem to solve for 13÷5=x\frac{1}{3} \div 5 = x. Model the equation and find the value of xx.

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Problem 160

Simplify the expression: 89100×100%\frac{89}{100} \times 100\%

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Problem 161

Simplify the fraction 250475\frac{250}{475} before performing the final division.

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Problem 162

Evaluate the expression 15÷8\frac{1}{5} \div 8 and enter the result.

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Problem 163

Find the value of the expression 1+141+\frac{1}{4}.

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Problem 164

Plot the fraction 54\frac{5}{4} on a number line.

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Problem 165

Express the shaded area of a 10x10 grid as a fraction and decimal.

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Problem 166

Simplify the expression 611422\frac{6}{11}-\frac{4}{22}.

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Problem 167

Find the missing term in each decimal fraction equation: a) x/7=4/35x/7=4/35 b) 3/18=25/x3/18=25/x c) 3.2/x=16/43.2/x=16/4 d) x/7=16/56x/7=16/56

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Problem 168

Simplify the expression 8y18y\frac{8 y}{18 y}.

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Problem 169

Find the difference between two decimal numbers using place value decomposition: 6.8454.3126.845 - 4.312

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Problem 170

Find the original fraction where the denominator is 5 more than twice the numerator, and decreasing both numerator and denominator by 7 results in 16\frac{1}{6}.

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Problem 171

Convert 7/87/8 to a percentage.

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Problem 172

Write the ratio 24:4024:40 as a simplified fraction.

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Problem 173

Find the equation represented by the model and the number of 18\frac{1}{8} in 34\frac{3}{4}.

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Problem 174

Calculate the value of 1072510-7 \frac{2}{5}.

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Problem 175

Simplify the fraction 46\frac{4}{6}.

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Problem 176

Simplify the expression 732\frac{7}{3} - 2.

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Problem 177

Find the value of the fraction 1032\frac{10}{32}.

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Problem 178

Convert 23\frac{2}{3} feet to inches.

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Problem 179

Solve for the value of AA given the fraction equation 1535=A7\frac{15}{35}=\frac{A}{7}.

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Problem 180

Find 34\frac{3}{4} of 28.

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Problem 181

Find the missing factor in the equation 96=×16\frac{9}{6} = \square \times \frac{1}{6}.

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Problem 182

Emmett bought two rolls of tape, one with 55 meters and the other with 8.848.84 meters. Find the total meters of tape he bought.

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Problem 183

Find the decimal equivalent of the fraction 13\frac{1}{3}.

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Problem 184

Find the ratio of 6 to 16 in the standard form x:yx:y.

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Problem 185

Simplify the expression: 78×78\frac{7}{8} \times \frac{7}{8}

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Problem 186

Find the value of the expression 13×b\frac{1}{3} \times b for b=23b=\frac{2}{3}. Write the answer as a fraction or whole/mixed number.

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Problem 187

Find the simplified fraction for 1850\frac{18}{50}.

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Problem 188

Simplify the expression 312(134)3 \frac{1}{2} \cdot\left(-1 \frac{3}{4}\right).

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Problem 189

Calculate milk consumption rate as a unit rate in gallons per day. The Nicholson family uses 12\frac{1}{2} gallon of milk every 3 days.

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Problem 190

Write a proportion for the statement: 77 is to 3535 as 44 is to 2020.

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Problem 191

Find the least common denominator for 4/5+18/1004/5 + 18/100.

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Problem 192

Find the percentage of 22 in 40 and calculate 65% of 60.

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Problem 193

Simplify the expression 14+910y35y+78\frac{1}{4}+\frac{9}{10} y-\frac{3}{5} y+\frac{7}{8} and select the correct answer.

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Problem 194

Convert 0.720.\overline{72} to a rational number in simplest form.

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Problem 195

Express 3549\frac{35}{49} as a simplified fraction.

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Problem 196

Find the simplest form of the fraction 36104\frac{36}{104}.

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Problem 197

Divide 2/72 / 7 by 1.5 and simplify the result.

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Problem 198

Simplify the product of 127\frac{12}{7} and 98\frac{9}{8} and express it in lowest terms.

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Problem 199

There are 15 books on a shelf, 9 new and the rest used. Find the ratio of (a) all books to used books, and (b) used books to new books.
(a) Ratio of all books to used books: 15:615:6 (b) Ratio of used books to new books: 6:96:9

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Problem 200

What fraction of a quantity is equal to 313%\frac{3}{13} \% of the quantity?

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