What is -7/10 \div 2/5 ?

The solution to -7/10 \div 2/5 is -7/4

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-7/10 \div 2/5

- \frac{7}{10} \div \frac{2}{5}

- \frac{7}{4}

Solution steps

- \frac{7}{10} \div \frac{2}{5}

Apply the fraction rule:

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

= - \frac{7}{10} \times \frac{5}{2}

Cross-cancel common factor:

5

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

Multiply fractions:

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

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

Multiply the numbers:

7 \times 1 = 7

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

Multiply the numbers:

2 \times 2 = 4

= - \frac{7}{4}

2 x (4 x + 1)

\frac{3}{4} \times \frac{1}{4}

2 x \times (- x)

\frac{9 x}{36 x ^{2} - 180 x}