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How do you simplify $4 \frac{1}{4} \div 3 \frac{2}{5}$ $4 1/4 div 3 2/5$ ?

1 Answer

Jun 30, 2016

Convert the components into improper fractions; replace the division by multiplication by the inverse, to get: $20$ $color(blue)(20)$

Explanation:

$4 \frac{1}{4} \div 3 \frac{2}{5}$ $4 1/4div 3 2/5$

$XXX = \frac{17}{4} \div \frac{17}{5}$ $color(white)("XXX")=17/4div 17/5$

$XXX = \frac{17}{4} \times \frac{5}{17}$ $color(white)("XXX")=17/4xx5/17$

$XXX = 4 \times 5$ $color(white)("XXX")=4xx5$

$XXX = 20$ $color(white)("XXX")=20$

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