Question

[(5/6) 2 x 9/4] ÷ [(-3/2) 2 x 125/216

Answer 1

Answer:

$\frac{-54}{25}$

------------------------------ steps:

1. the question could be written as this:

$\frac{\frac{5}{6} * 2 * \frac{9}{4} }{-\frac{3}{2}* 2 * \frac{125}{216} }$

2. Now, try resolving it by seperately solving the fraction, in 2 parts:

Numerator : $\frac{45 * 2}{24} = \frac{45}{12} = \frac{15}{4}$

Denominator : $\frac{-3 * 2 * 125}{2 * 216} = \frac{-3 * 125}{216} = \frac{-125}{72}$

3. Now, put numerator and denominator together and simplify:

$\frac{\frac{15}{4} }{\frac{-125}{72} } = \frac{15 * 72}{-125 * 4} = \frac{3 * 72}{ - 25 * 4} = \frac{-3 * 18}{25} = \frac{-54}{25}$

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