How do you simplify $3 \frac{3}{10} \div 2 \frac{2}{5}$ $3 3/10 div 2 2/5$ ?

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How do you simplify $3 \frac{3}{10} \div 2 \frac{2}{5}$ $3 3/10 div 2 2/5$ ?

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Answer 1 · 2016-11-26T21:25:56

$\frac{33}{24} = 1 \frac{3}{8}$ $33/24=1 3/8$

Explanation:

The method for the division of 2 mixed numbers is.

$∙ Convert to improper fractions$ $•" Convert to improper fractions"$

$∙ Change division to multiplication$ $•" Change division to multiplication"$

$∙ Leave the first fraction and 'invert' the second$ $•" Leave the first fraction and 'invert' the second"$

$∙ Simplify by cancelling$ $•" Simplify by cancelling"$

$⇒3310=3310← improper fraction$ $rArr3 3/10=33/10larr" improper fraction"$

$and 2 \frac{2}{5} = \frac{12}{5}$ $" and "2 2/5=12/5$

$\Rightarrow \frac{33}{10} \div \frac{12}{5} = \frac{33}{10} \times \frac{5}{12} \leftarrow multiply and invert$ $rArr33/10÷12/5=33/10xx5/12larr" multiply and invert"$

$=33/cancel(10)^2xxcancel(5)^1/12=(33xx1)/(2xx12)$

$=33/24=1 9/24=1 3/8$

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