What is 3/5 \div 9/10 ?

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

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3/5 \div 9/10

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

\frac{2}{3}

Solution steps

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

Apply the fraction rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

3 \times 10 = 30

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

Multiply the numbers:

5 \times 9 = 45

= \frac{30}{45}

Cancel the common factor:

15

= \frac{2}{3}

4 \cdot 45

10 - 19 x - 15 x^{2}

cot^{2} (t) (2 sec^{2} (t) - 2)

(m^{9})^{2}

(3 x + 7 y) (3 x - 7 y)