What is -2 1/8 \div 1/5 ?

The solution to -2 1/8 \div 1/5 is -10 5/8

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-2 1/8 \div 1/5

- 2 \frac{1}{8} \div \frac{1}{5}

- 10 \frac{5}{8}

Solution steps

- 2 \frac{1}{8} \div \frac{1}{5}

Convert mixed numbers to improper fractions:

2 \frac{1}{8} = \frac{17}{8}

= - \frac{17}{8} \div \frac{1}{5}

Apply the fraction rule:

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

= - \frac{17}{8} \times \frac{5}{1}

Apply rule

\frac{a}{1} = a

= - 5 \times \frac{17}{8}

Convert element to fraction:

5 = \frac{5}{1}

= \frac{5}{1} \times \frac{17}{8}

Multiply fractions:

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

= - \frac{17 \times 5}{8 \times 1}

Multiply the numbers:

17 \times 5 = 85

= - \frac{85}{8 \times 1}

Multiply the numbers:

8 \times 1 = 8

= - \frac{85}{8}

Convert improper fractions to mixed numbers:

\frac{85}{8} = 10 \frac{5}{8}

= - 10 \frac{5}{8}

\frac{5}{12} \times 6

7 a^{2} - 60 a + 32

(5 - 3 i) (8 - 2 i)

x^{4} \times 2 x

(- \frac{1}{2})^{- 8}