Question

Calculate: ????7B12%7D%7B15%7D%20" id="TexFormula1" title="( \frac{5}{6} ) ^{2} \times \frac{12}{15} " alt="( \frac{5}{6} ) ^{2} \times \frac{12}{15} " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

$\frac{5}{9}$

Explanation:

1) Reduce the $\frac{12}{15}$ to $\frac{4}{5}$ by dividing with 3. (12/3 = 4 & 15/3 = 5)

  $(\frac{5}{6})^{2}$ × $\frac{4}{5}$

2) Raise the numerator and denominator to the power.

   5×5= 25 & 6×6=36

   $\frac{25}{36}$ × $\frac{4}{5}$

3) Reduce the numbers (25 & 5) with the greatest common factor 5

    $\frac{5}{36}$ × $\frac{4}{1}$

4) Multiply the fractions.

    5×4= 20

    36×1= 36

       $\frac{20}{36}$

5) Simplify.

20÷4 = 5

36÷4 = 9

    $\frac{5}{9}$