Question

1. how do i find $6\frac{2}{5}+\frac{4}{5}$?
2. i can break apart 4/5 into $\frac{3}{5}+\frac{1}{5}$ to help me add.
3. write a mixed number to complete the equation.

$6\frac{2}{5}+\frac{4}{5}=6\frac{2}{5}+\frac{3}{5}+\frac{1}{5}$
$=\boxed{?}\frac{?}{?}$

Explanation:

Step1: Add the fractional parts

First, add the fractional parts \( 6\frac{2}{5} + \frac{3}{5} \). The whole number part remains 6, and we add the fractions: \( \frac{2}{5} + \frac{3}{5} = \frac{5}{5} = 1 \).

Step2: Combine with the whole number

Now, add the result from the fraction addition to the whole number part. So, \( 6 + 1 = 7 \). Now we have \( 7 + \frac{1}{5} \).

Step3: Form the mixed number

Combining these, we get the mixed number \( 7\frac{1}{5} \).

Answer:

\( 6\frac{2}{5} + \frac{4}{5} = 6\frac{2}{5} + \frac{3}{5} + \frac{1}{5} = 7\frac{1}{5} \)
So the first box is \( 7 \), the numerator of the fraction is \( 1 \), and the denominator is \( 5 \), resulting in the mixed number \( 7\frac{1}{5} \).