QuestionCalculate $\frac{2}{8} - \frac{9}{2}$ and express your answer as a mixed number.

Studdy Solution

STEP 1

Assumptions1. We are asked to add two fractions $\frac{}{8}$ and $-\frac{9}{}$ . . The addition of fractions requires a common denominator.
3. The result should be a mixed number and negatives should be used when necessary.

STEP 2

First, we simplify the fraction $\frac{2}{8}$ to its lowest terms.
$\frac{2}{8} = \frac{1}{4}$

STEP 3

Next, we need to find a common denominator for the fractions $\frac{1}{}$ and $-\frac{9}{2}$ . The common denominator of and2 is.

STEP 4

Now, we convert $-\frac{9}{2}$ to a fraction with denominator4.
$-\frac{9}{2} = -\frac{18}{4}$

STEP 5

Now that both fractions have a common denominator, we can add them together.
$\frac{1}{4} - \frac{18}{4} = \frac{1 -18}{4}$

STEP 6

Perform the subtraction in the numerator.
$\frac{1 -18}{4} = \frac{-17}{4}$

STEP 7

Finally, we convert the improper fraction $\frac{-17}{4}$ to a mixed number. An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). A mixed number has a whole number part and a fractional part.
$\frac{-17}{4} = -4\frac{1}{4}$ So, $\frac{2}{}-\frac{9}{2} = -4\frac{1}{4}$ .

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QuestionCalculate $\frac{2}{8} - \frac{9}{2}$ and express your answer as a mixed number.

Studdy Solution

STEP 1

Assumptions1. We are asked to add two fractions $\frac{}{8}$ and $-\frac{9}{}$ . . The addition of fractions requires a common denominator.
3. The result should be a mixed number and negatives should be used when necessary.

STEP 2

First, we simplify the fraction $\frac{2}{8}$ to its lowest terms.
$\frac{2}{8} = \frac{1}{4}$

STEP 3

Next, we need to find a common denominator for the fractions $\frac{1}{}$ and $-\frac{9}{2}$ . The common denominator of and2 is.

STEP 4

Now, we convert $-\frac{9}{2}$ to a fraction with denominator4.
$-\frac{9}{2} = -\frac{18}{4}$

STEP 5

Now that both fractions have a common denominator, we can add them together.
$\frac{1}{4} - \frac{18}{4} = \frac{1 -18}{4}$

STEP 6

Perform the subtraction in the numerator.
$\frac{1 -18}{4} = \frac{-17}{4}$

STEP 7

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QuestionCalculate 28−92\frac{2}{8} - \frac{9}{2}82​−29​ and express your answer as a mixed number.

Studdy Solution

STEP 1

Assumptions1. We are asked to add two fractions 8\frac{}{8}8​ and −9-\frac{9}{}−9​. . The addition of fractions requires a common denominator.3. The result should be a mixed number and negatives should be used when necessary.

STEP 2

First, we simplify the fraction 28\frac{2}{8}82​ to its lowest terms.28=14\frac{2}{8} = \frac{1}{4}82​=41​

STEP 3

Next, we need to find a common denominator for the fractions 1\frac{1}{}1​ and −92-\frac{9}{2}−29​. The common denominator of and2 is.

STEP 4

Now, we convert −92-\frac{9}{2}−29​ to a fraction with denominator4.−92=−184-\frac{9}{2} = -\frac{18}{4}−29​=−418​

STEP 5

Now that both fractions have a common denominator, we can add them together.14−184=1−184\frac{1}{4} - \frac{18}{4} = \frac{1 -18}{4}41​−418​=41−18​

STEP 6

Perform the subtraction in the numerator.1−184=−174\frac{1 -18}{4} = \frac{-17}{4}41−18​=4−17​

STEP 7

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QuestionCalculate $\frac{2}{8} - \frac{9}{2}$ and express your answer as a mixed number.

Assumptions1. We are asked to add two fractions $\frac{}{8}$ and $-\frac{9}{}$ . . The addition of fractions requires a common denominator.
3. The result should be a mixed number and negatives should be used when necessary.

First, we simplify the fraction $\frac{2}{8}$ to its lowest terms.
$\frac{2}{8} = \frac{1}{4}$

Next, we need to find a common denominator for the fractions $\frac{1}{}$ and $-\frac{9}{2}$ . The common denominator of and2 is.

Now, we convert $-\frac{9}{2}$ to a fraction with denominator4.
$-\frac{9}{2} = -\frac{18}{4}$

Now that both fractions have a common denominator, we can add them together.
$\frac{1}{4} - \frac{18}{4} = \frac{1 -18}{4}$

Perform the subtraction in the numerator.
$\frac{1 -18}{4} = \frac{-17}{4}$