Solved on Dec 21, 2023

Find equivalent fractions, decimals, and percents. Simplify fractions. $1$ has decimal $1.25$ and percent $?$ . $\frac{3}{5}$ has decimal $?$ and percent $?$ . $?$ has decimal $?$ and percent $5\%$ .

STEP 1

Assumptions
1. We need to find equivalent fractions, decimals, and percents.
2. Simplify fractions where possible.

STEP 2

For row 1, we need to convert the decimal 1.25 to a fraction and a percent.
To convert a decimal to a fraction, we place the decimal over its place value and simplify if necessary.

STEP 3

Convert the decimal 1.25 to a fraction.
$\frac{1.25}{1} = \frac{125}{100}$

STEP 4

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD), which is 25 in this case.
$\frac{125 \div 25}{100 \div 25} = \frac{5}{4}$

STEP 5

Now, convert the decimal 1.25 to a percent by multiplying by 100 and adding the percent sign.
$1.25 \times 100 = 125\%$

STEP 6

For row 2, we need to convert the fraction $\frac{3}{5}$ to a decimal and a percent.
To convert a fraction to a decimal, we divide the numerator by the denominator.

STEP 7

Convert the fraction $\frac{3}{5}$ to a decimal.
$\frac{3}{5} = 3 \div 5 = 0.6$

STEP 8

Now, convert the fraction $\frac{3}{5}$ to a percent by multiplying the decimal by 100 and adding the percent sign.
$0.6 \times 100 = 60\%$

STEP 9

For row 3, we need to convert the percent 5% to a fraction and a decimal.
To convert a percent to a decimal, we divide by 100.

STEP 10

Convert the percent 5% to a decimal.
$5\% = \frac{5}{100} = 0.05$

STEP 11

To convert a percent to a fraction, we write the percent over 100 and simplify if necessary.

STEP 12

Convert the percent 5% to a fraction.
$\frac{5}{100}$

STEP 13

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD), which is 5 in this case.
$\frac{5 \div 5}{100 \div 5} = \frac{1}{20}$
The completed table is as follows:
\begin{tabular}{|c|c|c|c|} \hline & Fraction & Decimal & Percent \\ \hline 1 & $\frac{5}{4}$ & 1.25 & 125\% \\ \hline 2 & $\frac{3}{5}$ & 0.6 & 60\% \\ \hline 3 & $\frac{1}{20}$ & 0.05 & 5\% \\ \hline \end{tabular}

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Find equivalent fractions, decimals, and percents. Simplify fractions. $1$ has decimal $1.25$ and percent $?$ . $\frac{3}{5}$ has decimal $?$ and percent $?$ . $?$ has decimal $?$ and percent $5\%$ .

STEP 1

Assumptions
1. We need to find equivalent fractions, decimals, and percents.
2. Simplify fractions where possible.

STEP 2

For row 1, we need to convert the decimal 1.25 to a fraction and a percent.
To convert a decimal to a fraction, we place the decimal over its place value and simplify if necessary.

STEP 3

Convert the decimal 1.25 to a fraction.
$\frac{1.25}{1} = \frac{125}{100}$

STEP 4

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD), which is 25 in this case.
$\frac{125 \div 25}{100 \div 25} = \frac{5}{4}$

STEP 5

Now, convert the decimal 1.25 to a percent by multiplying by 100 and adding the percent sign.
$1.25 \times 100 = 125\%$

STEP 6

For row 2, we need to convert the fraction $\frac{3}{5}$ to a decimal and a percent.
To convert a fraction to a decimal, we divide the numerator by the denominator.

STEP 7

Convert the fraction $\frac{3}{5}$ to a decimal.
$\frac{3}{5} = 3 \div 5 = 0.6$

STEP 8

Now, convert the fraction $\frac{3}{5}$ to a percent by multiplying the decimal by 100 and adding the percent sign.
$0.6 \times 100 = 60\%$

STEP 9

For row 3, we need to convert the percent 5% to a fraction and a decimal.
To convert a percent to a decimal, we divide by 100.

STEP 10

Convert the percent 5% to a decimal.
$5\% = \frac{5}{100} = 0.05$

STEP 11

To convert a percent to a fraction, we write the percent over 100 and simplify if necessary.

STEP 12

Convert the percent 5% to a fraction.
$\frac{5}{100}$

STEP 13

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Find equivalent fractions, decimals, and percents. Simplify fractions. 111 has decimal 1.251.251.25 and percent ???. 35\frac{3}{5}53​ has decimal ??? and percent ???. ??? has decimal ??? and percent 5%5\%5%.

STEP 1

Assumptions1. We need to find equivalent fractions, decimals, and percents.2. Simplify fractions where possible.

STEP 2

For row 1, we need to convert the decimal 1.25 to a fraction and a percent.To convert a decimal to a fraction, we place the decimal over its place value and simplify if necessary.

STEP 3

Convert the decimal 1.25 to a fraction.1.251=125100\frac{1.25}{1} = \frac{125}{100}11.25​=100125​

STEP 4

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD), which is 25 in this case.125÷25100÷25=54\frac{125 \div 25}{100 \div 25} = \frac{5}{4}100÷25125÷25​=45​

STEP 5

Now, convert the decimal 1.25 to a percent by multiplying by 100 and adding the percent sign.1.25×100=125%1.25 \times 100 = 125\%1.25×100=125%

STEP 6

For row 2, we need to convert the fraction 35\frac{3}{5}53​ to a decimal and a percent.To convert a fraction to a decimal, we divide the numerator by the denominator.

STEP 7

Convert the fraction 35\frac{3}{5}53​ to a decimal.35=3÷5=0.6\frac{3}{5} = 3 \div 5 = 0.653​=3÷5=0.6

STEP 8

Now, convert the fraction 35\frac{3}{5}53​ to a percent by multiplying the decimal by 100 and adding the percent sign.0.6×100=60%0.6 \times 100 = 60\%0.6×100=60%

STEP 9

For row 3, we need to convert the percent 5% to a fraction and a decimal.To convert a percent to a decimal, we divide by 100.

STEP 10

Convert the percent 5% to a decimal.5%=5100=0.055\% = \frac{5}{100} = 0.055%=1005​=0.05

STEP 11

To convert a percent to a fraction, we write the percent over 100 and simplify if necessary.

STEP 12

Convert the percent 5% to a fraction.5100\frac{5}{100}1005​

STEP 13

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Find equivalent fractions, decimals, and percents. Simplify fractions. $1$ has decimal $1.25$ and percent $?$ . $\frac{3}{5}$ has decimal $?$ and percent $?$ . $?$ has decimal $?$ and percent $5\%$ .

Assumptions
1. We need to find equivalent fractions, decimals, and percents.
2. Simplify fractions where possible.

For row 1, we need to convert the decimal 1.25 to a fraction and a percent.
To convert a decimal to a fraction, we place the decimal over its place value and simplify if necessary.

Convert the decimal 1.25 to a fraction.
$\frac{1.25}{1} = \frac{125}{100}$

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD), which is 25 in this case.
$\frac{125 \div 25}{100 \div 25} = \frac{5}{4}$

Now, convert the decimal 1.25 to a percent by multiplying by 100 and adding the percent sign.
$1.25 \times 100 = 125\%$

For row 2, we need to convert the fraction $\frac{3}{5}$ to a decimal and a percent.
To convert a fraction to a decimal, we divide the numerator by the denominator.

Convert the fraction $\frac{3}{5}$ to a decimal.
$\frac{3}{5} = 3 \div 5 = 0.6$

Now, convert the fraction $\frac{3}{5}$ to a percent by multiplying the decimal by 100 and adding the percent sign.
$0.6 \times 100 = 60\%$

For row 3, we need to convert the percent 5% to a fraction and a decimal.
To convert a percent to a decimal, we divide by 100.

Convert the percent 5% to a decimal.
$5\% = \frac{5}{100} = 0.05$

Convert the percent 5% to a fraction.
$\frac{5}{100}$