Question

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

Explanation:

Step1: Add the fractions

Add the fractional parts: $\frac{5}{8} + \frac{7}{8} = \frac{12}{8}$

Step2: Simplify the fraction and add to the whole number

Simplify $\frac{12}{8}$ to $\frac{3}{2}$ (which is $1\frac{1}{2}$), then add to the whole number 4: $4 + 1\frac{1}{2} = 5\frac{1}{2}$ (Wait, no, let's do it step by step. Wait, $4\frac{5}{8}+\frac{7}{8}$: first add the numerators of the fractions since denominators are same. So $\frac{5 + 7}{8}=\frac{12}{8}$. Then $\frac{12}{8}$ can be written as $1\frac{4}{8}$ (since 12 divided by 8 is 1 with remainder 4) or simplified to $1\frac{1}{2}$. Then add the whole number part: $4 + 1\frac{4}{8}$ (or $1\frac{1}{2}$). Wait, $4 + 1\frac{4}{8}=5\frac{4}{8}$, and $\frac{4}{8}$ simplifies to $\frac{1}{2}$. Wait, no, let's correct. $4\frac{5}{8}+\frac{7}{8}$: add the fractions: $\frac{5 + 7}{8}=\frac{12}{8}$. Now, $\frac{12}{8}=1\frac{4}{8}$ (because 8*1=8, 12-8=4). Then add the whole number 4: $4 + 1\frac{4}{8}=5\frac{4}{8}$. Simplify $\frac{4}{8}$ to $\frac{1}{2}$, so $5\frac{1}{2}$? Wait, no, $\frac{12}{8}$ is $\frac{3}{2}$ which is $1\frac{1}{2}$. So $4 + 1\frac{1}{2}=5\frac{1}{2}$. Wait, but let's check again. $4\frac{5}{8}$ is 4 + 5/8. Then adding 7/8: 5/8 +7/8=12/8=1.5=1 4/8=1 1/2. Then 4 +1 1/2=5 1/2. But let's do it with mixed numbers properly. $4\frac{5}{8}+\frac{7}{8}=4 + \frac{5}{8}+\frac{7}{8}=4 + \frac{12}{8}=4 + 1\frac{4}{8}=5\frac{4}{8}=5\frac{1}{2}$. Wait, $\frac{4}{8}$ simplifies to $\frac{1}{2}$. So the sum is $5\frac{1}{2}$. Wait, but let's check the steps again.

Wait, initial step: $4\frac{5}{8}+\frac{7}{8}$. Add the fractions: numerators 5 and 7, denominator 8. So $\frac{5 + 7}{8}=\frac{12}{8}$. Now, $\frac{12}{8}$ can be converted to a mixed number: 12 divided by 8 is 1 with a remainder of 4, so $1\frac{4}{8}$, which simplifies to $1\frac{1}{2}$. Then add the whole number part (4) to this mixed number: $4 + 1\frac{1}{2}=5\frac{1}{2}$. Alternatively, $\frac{12}{8}=1.5$, so 4 +1.5=5.5=5$\frac{1}{2}$.

Wait, but let's do it as: $4\frac{5}{8}+\frac{7}{8}=4 + (\frac{5}{8}+\frac{7}{8})=4 + \frac{12}{8}=4 + 1\frac{4}{8}=5\frac{4}{8}=5\frac{1}{2}$ (since $\frac{4}{8}=\frac{1}{2}$).

Answer:

$5\frac{1}{2}$ (or in the boxed form as per the question's format, but the question shows boxes for whole number, numerator, denominator. So the whole number is 5, numerator is 1, denominator is 2. So $5\frac{1}{2}$)