Question

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

Explanation:

Step1: Add \(6\frac{2}{5}\) and \(\frac{3}{5}\)

First, we add the fractional parts: \(\frac{2}{5}+\frac{3}{5}=\frac{2 + 3}{5}=\frac{5}{5}=1\). Then we add the whole number part: \(6+1 = 7\). So \(6\frac{2}{5}+\frac{3}{5}=7\).

Step2: Add 7 and \(\frac{1}{5}\)

Now we add \(7\) and \(\frac{1}{5}\). Combining them gives the mixed number \(7\frac{1}{5}\). So \(7+\frac{1}{5}=7\frac{1}{5}\).

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 "?" (the whole number part) is \(7\), the numerator "?" is \(1\), and the denominator "?" is \(5\). The final mixed number is \(7\frac{1}{5}\).