What is 3/7 \div 9/14 ?

The solution to 3/7 \div 9/14 is 2/3

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3/7 \div 9/14

\frac{3}{7} \div \frac{9}{14}

\frac{2}{3}

Solution steps

\frac{3}{7} \div \frac{9}{14}

Apply the fraction rule:

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

= \frac{3}{7} \times \frac{14}{9}

Multiply fractions:

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

= \frac{3 \times 14}{7 \times 9}

Multiply the numbers:

3 \times 14 = 42

= \frac{42}{7 \times 9}

Multiply the numbers:

7 \times 9 = 63

= \frac{42}{63}

Cancel the common factor:

21

= \frac{2}{3}

x (2 x + 3)

(x^{2}) (x^{4})

\frac{x}{4} + \frac{8}{3}

\frac{5 x + 5}{3 x + 3}

\frac{16}{9} \div 4