What is -27/32 \div 9/4 ?

The solution to -27/32 \div 9/4 is -3/8

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-27/32 \div 9/4

- \frac{27}{32} \div \frac{9}{4}

- \frac{3}{8}

Solution steps

- \frac{27}{32} \div \frac{9}{4}

Apply the fraction rule:

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

= - \frac{27}{32} \times \frac{4}{9}

Multiply fractions:

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

= - \frac{27 \times 4}{32 \times 9}

Multiply the numbers:

27 \times 4 = 108

= - \frac{108}{32 \times 9}

Multiply the numbers:

32 \times 9 = 288

= - \frac{108}{288}

Cancel the common factor:

36

= - \frac{3}{8}

(3 x^{2} + 6 x) + (4 x^{2} - 8 x)

(x + 6)^{2} - 16

- 2 x^{3} + x

2 \frac{3}{8} + 1 \frac{1}{4}

49 x^{2} - 28 x y + 4 y^{2}