What is (5/6)/(6/7) ?

The solution to (5/6)/(6/7) is 35/36

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Simplify (5/6)÷(6/7)

(5/6) / (6/7)

\frac{35}{36}

Solution steps

(5/6) / (6/7)

Follow the PEMDAS order of operations

Calculate within parentheses

(5/6) : \frac{5}{6}

5/6

5/6 = \frac{5}{6}

= \frac{5}{6}

= \frac{5}{6} / (6/7)

Calculate within parentheses

(6/7) : \frac{6}{7}

6/7

6/7 = \frac{6}{7}

= \frac{6}{7}

= \frac{5}{6} / \frac{6}{7}

Multiply and divide (left to right)

\frac{5}{6} / \frac{6}{7} : \frac{35}{36}

\frac{5}{6} / \frac{6}{7}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{5}{6} \cdot \frac{7}{6}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{5 \cdot 7}{6 \cdot 6}

Multiply the numbers:

5 \cdot 7 = 35

= \frac{35}{6 \cdot 6}

Multiply the numbers:

6 \cdot 6 = 36

= \frac{35}{36}

= \frac{35}{36}

87

- 0.065

t o a p erce n t a g e 7/19

t h e \frac{36}{180}

t o a p erce n t a g e 35/50