How do you find the quotient of 2/9 divided by 5/4?

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How do you find the quotient of 2/9 divided by 5/4?

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Answer 1 · 2015-11-10T02:12:54

$\frac{8}{45}$ $8/45$

Explanation:

Rewrite in fraction form: $\frac{\frac{2}{9}}{\frac{5}{4}}$ $(2/9)/(5/4)$

This fraction falls into the $a, b, c, d$ $a,b,c,d$ pattern where when dividing 2 fractions: $\frac{\frac{a}{b}}{\frac{c}{d}}$ $(a/b)/(c/d)$ you can rewrite the problem as:
$\frac{a \cdot d}{b \cdot c}$ $(a*d)/(b*c)$ Now just plug in the original numbers in their form so you get:

$\frac{2 \cdot 4}{9 \cdot 5} \to \frac{8}{45}$ $(2*4)/(9*5) -> 8/45$

OR you can use keep it, change it, flip it:
Keep it: $\frac{2}{9}$ $2/9$
Change it: $\cdot$ $*$
Flip it: $\frac{4}{5}$ $4/5$
Then just multiply straight across to get : $\frac{8}{45}$ $8/45$

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How do you find the quotient of 2/9 divided by 5/4?

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