How do you simplify $(3 \frac{4}{10} + 5 \frac{2}{10}) + \frac{6}{10}$ $(3 4/10+5 2/10)+6/10$ ?

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How do you simplify $(3 \frac{4}{10} + 5 \frac{2}{10}) + \frac{6}{10}$ $(3 4/10+5 2/10)+6/10$ ?

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Answer 1 · 2016-12-15T14:00:39

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

$9 \frac{1}{5}$ $9 1/5$

Explanation:

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

Applying this principle and grouping the numbers we have:

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

$8 + [\frac{12}{10}]$ $8+[12/10]$

$8 + [\frac{10}{10} + \frac{2}{10}]$ $8+[10/10+2/10]$

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

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

$9 + \frac{2}{10} \to 9 + [\frac{2 \div 2}{10 \div 2}]$ $9+2/10" "->" "9+[(2-:2)/(10-:2)]$

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

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$This is what the calculation should look like after practice$ $color(red)("This is what the calculation should look like after practice")$

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

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How do you simplify $(3 \frac{4}{10} + 5 \frac{2}{10}) + \frac{6}{10}$ $(3 4/10+5 2/10)+6/10$ ?

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