Question

a) choose the sum that is greater than 5.
$4\frac{5}{8} + \frac{7}{8}$
b) find the sum. write your answer as a mixed number.
$4\frac{5}{8} + \frac{7}{8} = \boxed{?} \frac{\boxed{?}}{\boxed{?}}$

Explanation:

Step1: Add the fractional parts

First, add the numerators of the fractional parts since the denominators are the same. The mixed number is \(4\frac{5}{8}\) and the fraction is \(\frac{7}{8}\). So, \(\frac{5}{8}+\frac{7}{8}=\frac{5 + 7}{8}=\frac{12}{8}\).

Step2: Simplify the fraction and add the whole number

Simplify \(\frac{12}{8}\) to a mixed number. \(\frac{12}{8}=1\frac{4}{8}\) (because \(12\div8 = 1\) with a remainder of \(4\)). Now, add the whole number part of the original mixed number (\(4\)) to this result. So, \(4+1\frac{4}{8}=5\frac{4}{8}\). We can further simplify \(\frac{4}{8}\) to \(\frac{1}{2}\), so the sum is \(5\frac{1}{2}\) (or \(5\frac{4}{8}\) if we don't simplify the fraction further).

Answer:

\(4\frac{5}{8}+\frac{7}{8}=5\frac{4}{8}\) (or \(5\frac{1}{2}\) after simplifying the fraction \(\frac{4}{8}\) to \(\frac{1}{2}\))