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QuestionAdd: −48+53-\frac{4}{8}+\frac{5}{3}. Enter your answer as a mixed number (e.g., 11/211 / 2).

Studdy Solution

STEP 1

Assumptions1. We are adding two fractions −48-\frac{4}{8} and 53\frac{5}{3}. . The result should be a mixed number.
3. The fractions are in their simplest form.

STEP 2

First, simplify the fractions if possible.−48=−12-\frac{4}{8} = -\frac{1}{2}

STEP 3

Now, to add the fractions, we need to find a common denominator. The common denominator of2 and3 is6.
So, we rewrite the fractions with the common denominator.
−12=−36-\frac{1}{2} = -\frac{3}{6}53=106\frac{5}{3} = \frac{10}{6}

STEP 4

Now, add the two fractions.
−36+106=10−36-\frac{3}{6} + \frac{10}{6} = \frac{10 -3}{6}

STEP 5

Perform the subtraction in the numerator.
10−3=7\frac{10 -3}{} = \frac{7}{}This is our answer, but it is an improper fraction. We need to convert it to a mixed number.

STEP 6

To convert an improper fraction to a mixed number, divide the numerator by the denominator.
6=116\frac{}{6} =1\frac{1}{6}So, −48+53=116-\frac{4}{8}+\frac{5}{3}=1\frac{1}{6}.

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