# How do you simplify 4 4/5 + 3 1/3?

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2
Jan 31, 2018

$8 \frac{2}{15}$

#### Explanation:

First, you would find a common denominator; for me, I used $15$. Then ask yourself how many times will $5$ go into $15$? The answer is $3$ times.

So then you would multiply $3$ by $4$ (because it is the numerator of the first fraction) and the answer is $12$. Then do the same for the other fraction. Ask yourself how many times will $3$ go into $15$? The answer is $5$.

Then multiply by $1$ to get $5$. Then you will have the fractions $\frac{12}{15}$ and $\frac{5}{15}$ and add to get $\frac{17}{15}$.

Simplify that fraction to $1 \frac{2}{15}$, then add $4$ and $3$ and $1 \frac{2}{15}$ to get $8 \frac{2}{15}$.

Then teach the underlying concepts
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#### Explanation

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#### Explanation:

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1
Feb 7, 2018

$8 \frac{2}{15}$

#### Explanation:

Work with the whole numbers first, and then deal with the fractions,

$\textcolor{b l u e}{4} \frac{4}{5} + \textcolor{b l u e}{3} \frac{1}{3}$

$= \textcolor{b l u e}{7} + \frac{4}{5} + \frac{1}{3} \text{ } \leftarrow$ the $L C M = 15$

Make equivalent fractions with $15$ in each denominator

$= 7 + \left(\frac{4}{5} \times \frac{3}{3}\right) + \left(\frac{1}{3} \times \frac{5}{5}\right)$

$= 7 + \frac{12}{15} + \frac{5}{15}$

$= 7 \frac{12 + 5}{15}$

$= 7 \frac{17}{15} \text{ "larr " change } \frac{17}{15}$ into a mixed number

$= 7 + 1 \frac{2}{15}$

$= 8 \frac{2}{15}$

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