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Divide. $\newline$ $\frac{1}{10}\div\frac{1}{8}=$ _____

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Multiply and divide rational numbers

Full solution

Q. Divide.

\newline

\frac{1}{10}\div\frac{1}{8}=

_____

Convert to multiplication: Convert the division problem into a multiplication problem by multiplying by the reciprocal of the divisor. $\newline$ $\frac{1}{10} \div \frac{1}{8} = \frac{1}{10} \times \frac{8}{1}$
Multiply numerators and denominators: Multiply the numerators and the denominators. $\newline$ $\frac{1}{10} \times \frac{8}{1} = \frac{(1 \times 8)}{(10 \times 1)} = \frac{8}{10}$
Simplify the fraction: Simplify the fraction if possible. $\newline$ $\frac{8}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\frac{8}{10} = \frac{8 \div 2}{10 \div 2} = \frac{4}{5}$

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