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Sophie [7]
3 years ago
14

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">
​
SAT
1 answer:
MAXImum [283]3 years ago
5 0

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

<h2>     \frac{5}{9}</h2>
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