# How do you simplify (3 4/10+5 2/10)+6/10?

Dec 15, 2016

The detail for this is way over the top but I wanted to demonstrate several principles.

$9 \frac{1}{5}$

#### Explanation:

Note that $3 \frac{4}{10}$ is the same as $3 + \frac{4}{10}$

Applying this principle and grouping the numbers we have:

$3 + 5 + \left[\frac{4}{10} + \frac{2}{10} + \frac{6}{10}\right]$

$8 + \left[\frac{12}{10}\right]$

$8 + \left[\frac{10}{10} + \frac{2}{10}\right]$

But $\frac{10}{10} = 1$

$8 + 1 + \frac{2}{10}$

$9 + \frac{2}{10} \text{ "->" } 9 + \left[\frac{2 \div 2}{10 \div 2}\right]$

$9 + \frac{1}{5} = 9 \frac{1}{5}$

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$\textcolor{red}{\text{This is what the calculation should look like after practice}}$

$= 8 \frac{12}{10} = 9 \frac{1}{5}$