What is -3/2 \div 7/4 ?

The solution to -3/2 \div 7/4 is -6/7

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-3/2 \div 7/4

- \frac{3}{2} \div \frac{7}{4}

- \frac{6}{7}

Solution steps

- \frac{3}{2} \div \frac{7}{4}

Apply the fraction rule:

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

= - \frac{3}{2} \times \frac{4}{7}

Cross-cancel common factor:

2

= \frac{3}{1} \times \frac{2}{7}

Multiply fractions:

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

= - \frac{3 \times 2}{1 \times 7}

Multiply the numbers:

3 \times 2 = 6

= - \frac{6}{1 \times 7}

Multiply the numbers:

1 \times 7 = 7

= - \frac{6}{7}

3 - 27

6 \times 6 \times 6

- 3 p^{7} + 3 p^{3}

2 3^{3} + 23