What is 13/5 \div (7/9-5/12) ?

The solution to 13/5 \div (7/9-5/12) is 7 1/5

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13/5 \div (7/9-5/12)

\frac{13}{5} \div (\frac{7}{9} - \frac{5}{12})

7 \frac{1}{5}

Solution steps

\frac{13}{5} \div (\frac{7}{9} - \frac{5}{12})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{7}{9} - \frac{5}{12}) : \frac{13}{36}

= \frac{13}{5} \div \frac{13}{36}

Multiply and divide (left to right)

\frac{13}{5} \div \frac{13}{36} : \frac{36}{5}

= \frac{36}{5}

Convert improper fractions to mixed numbers:

\frac{36}{5} = 7 \frac{1}{5}

= 7 \frac{1}{5}

- 2 (3 + (5 - 2 (1 + 4))) - 5

8 \times 34 + 8 \times 46 + 8 \times 20

(\frac{- 63}{- 7}) \times (- 3 + (- 2))^{2}

- 6 + 4 + 2

\frac{1}{( - 3 ) ^{2} - 4}