Question

4/5÷9/7×9/7+11/15÷13/17×13/17=?

Answer 1

4/5×7/9×9/7+11/15×17/13×13/17

4/5+11/15

(4×15+11×5)/15×5

(60+55)/75

115/75

23/15

Answer 2

$\textbf {Hey there, here is the solution.}$

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$\dfrac{4}{5} \div\dfrac{9}{7} \times\dfrac{9}{7} + \dfrac{11}{15} \div \dfrac{13}{17} \times\dfrac{13}{17}$

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We can do it in two parts:

$= \bigg(\dfrac{4}{5} \div\dfrac{9}{7} \times\dfrac{9}{7}\bigg) + \bigg(\dfrac{11}{15} \div \dfrac{13}{17} \times\dfrac{13}{17} \bigg)$

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Change all the divide fractions to multiplication fractions:

$= \bigg(\dfrac{4}{5} \times \dfrac{7}{9} \times\dfrac{9}{7}\bigg) + \bigg(\dfrac{11}{15} \times \dfrac{17}{13} \times\dfrac{13}{17} \bigg)$

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Multiply all the fractions:

$= \dfrac{4 \times 7 \times 9}{5 \times 9 \times 7} + \dfrac{11 \times 17 \times 13}{15 \times 13 \times 17}$

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Take away all common factors:

$= \dfrac{4}{5} + \dfrac{11}{15}$

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Change the denominator to be the same:

$= \dfrac{12}{15} + \dfrac{11}{15}$

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Add them:

$= \dfrac{23}{15}$

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Simplify:

$= 1\dfrac{8}{15}$

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$\textbf {Cheers}$