Question

find the sum. write your answer as a mixed number.
$4\frac{5}{8} + \frac{7}{8} = \square \frac{?}{?}$

Explanation:

Step1: Add the fractions

First, add the fractional parts: \(\frac{5}{8} + \frac{7}{8} = \frac{5 + 7}{8} = \frac{12}{8}\)

Step2: Simplify the fraction and add the whole number

Simplify \(\frac{12}{8}\) to \(\frac{3}{2}\) or \(1\frac{1}{2}\). Then add the whole number \(4\) to \(1\frac{1}{2}\): \(4 + 1\frac{1}{2} = 5\frac{1}{2}\) (or we can also do it by converting the mixed number to improper fraction first: \(4\frac{5}{8}=\frac{4\times8 + 5}{8}=\frac{37}{8}\), then \(\frac{37}{8}+\frac{7}{8}=\frac{37 + 7}{8}=\frac{44}{8}=\frac{11}{2}=5\frac{1}{2}\))

Answer:

\(5\frac{1}{2}\) (which can be written as \(5\frac{1}{2}\) with the whole number part \(5\), numerator \(1\) and denominator \(2\))