What is 2/3 \div 6/7 ?

The solution to 2/3 \div 6/7 is 7/9

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2/3 \div 6/7

\frac{2}{3} \div \frac{6}{7}

\frac{7}{9}

Solution steps

\frac{2}{3} \div \frac{6}{7}

Apply the fraction rule:

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

= \frac{2}{3} \times \frac{7}{6}

Cross-cancel common factor:

2

= \frac{1}{3} \times \frac{7}{3}

Multiply fractions:

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

= \frac{1 \times 7}{3 \times 3}

Multiply the numbers:

1 \times 7 = 7

= \frac{7}{3 \times 3}

Multiply the numbers:

3 \times 3 = 9

= \frac{7}{9}

\frac{64}{88}

\frac{- 35}{( - 5 )}

3 (2 x - 3)

3 + 3 + 3

5 - a + 4 a