What is 10/9 \div 5/3 ?

The solution to 10/9 \div 5/3 is 2/3

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10/9 \div 5/3

\frac{10}{9} \div \frac{5}{3}

\frac{2}{3}

Solution steps

\frac{10}{9} \div \frac{5}{3}

Apply the fraction rule:

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

= \frac{10}{9} \times \frac{3}{5}

Multiply fractions:

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

= \frac{10 \times 3}{9 \times 5}

Multiply the numbers:

10 \times 3 = 30

= \frac{30}{9 \times 5}

Multiply the numbers:

9 \times 5 = 45

= \frac{30}{45}

Cancel the common factor:

15

= \frac{2}{3}

+ 14 a b^{2} + 35 b c

8 x^{9} - 64 y^{15}

49 x^{4} + 61 x^{2} y^{2} + 25 y^{4}

\frac{v ^{4} + 4 v ^{2} + 4}{4 - v ^{4}}

x - 8 + 8 + 2