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find the sum. simplify your answer. $4 \\frac{7}{8} + 4 \\frac{2}{4} = …

Question

find the sum. simplify your answer.
$4 \frac{7}{8} + 4 \frac{2}{4} = \square \frac{\square}{\square}$

Explanation:

Step1: Add the whole numbers

The whole numbers are 4 and 4. So, \( 4 + 4 = 8 \).

Step2: Add the fractions

First, simplify \( \frac{2}{4} \) to \( \frac{1}{2} \), and then convert to eighths: \( \frac{1}{2}=\frac{4}{8} \). Now add \( \frac{7}{8} + \frac{4}{8} = \frac{11}{8} \).

Step3: Convert improper fraction to mixed number and add to whole number

\( \frac{11}{8} = 1\frac{3}{8} \). Now add this to the sum of the whole numbers: \( 8 + 1\frac{3}{8} = 9\frac{3}{8} \).

Answer:

\( 9\frac{3}{8} \) (or in the boxed form as per the problem's layout, the whole number part is 9, numerator is 3, denominator is 8)