What is -1 1/4 \div 8/64 ?

The solution to -1 1/4 \div 8/64 is -10

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-1 1/4 \div 8/64

- 1 \frac{1}{4} \div \frac{8}{64}

- 10

Solution steps

- 1 \frac{1}{4} \div \frac{8}{64}

Convert mixed numbers to improper fractions:

1 \frac{1}{4} = \frac{5}{4}

= - \frac{5}{4} \div \frac{8}{64}

Apply the fraction rule:

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

= - \frac{5}{4} \times \frac{64}{8}

Cross-cancel common factor:

4

= \frac{5}{1} \times \frac{16}{8}

Multiply fractions:

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

= - \frac{5 \times 16}{1 \times 8}

Multiply the numbers:

5 \times 16 = 80

= - \frac{80}{1 \times 8}

Multiply the numbers:

1 \times 8 = 8

= - \frac{80}{8}

Divide the numbers:

\frac{80}{8} = 10

= - 10

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