What is 5/(-8)\div 1 3/7 ?

The solution to 5/(-8)\div 1 3/7 is -7/16

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5/(-8)\div 1 3/7

\frac{5}{- 8} \div 1 \frac{3}{7}

- \frac{7}{16}

Solution steps

\frac{5}{- 8} \div 1 \frac{3}{7}

Convert mixed numbers to improper fractions:

1 \frac{3}{7} = \frac{10}{7}

= \frac{5}{- 8} \div \frac{10}{7}

Apply the fraction rule:

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

= \frac{5}{- 8} \times \frac{7}{10}

Cross-cancel common factor:

5

= \frac{1}{- 8} \times \frac{7}{2}

Multiply fractions:

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

= \frac{1 \times 7}{( - 8 ) \times 2}

Remove parentheses:

(- a) = - a

= \frac{1 \times 7}{- 8 \times 2}

Multiply the numbers:

1 \times 7 = 7

= \frac{7}{- 8 \times 2}

Multiply the numbers:

8 \times 2 = 16

= \frac{7}{- 16}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{7}{16}

- 2 - 2 x

x (5 x - 1)

- 20 - 8

x^{4} (x^{4})

- 20 + 1