What is 4/3 \div 8/9 ?

The solution to 4/3 \div 8/9 is 3/2

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4/3 \div 8/9

\frac{4}{3} \div \frac{8}{9}

\frac{3}{2}

Solution steps

\frac{4}{3} \div \frac{8}{9}

Apply the fraction rule:

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

= \frac{4}{3} \times \frac{9}{8}

Multiply fractions:

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

= \frac{4 \times 9}{3 \times 8}

Multiply the numbers:

4 \times 9 = 36

= \frac{36}{3 \times 8}

Multiply the numbers:

3 \times 8 = 24

= \frac{36}{24}

Cancel the common factor:

12

= \frac{3}{2}

\frac{8 + 3}{6}

x y - 2 x y + 3 x^{2} y - 4 x y^{2} + 2 x y^{2}

x^{2} (x - 2) + x (x - 2)^{2}

3 (x - 1)^{2} - 4 (x - 1) - 12

\frac{1}{1 + x ^{2}} + 1