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Divide. $\newline$ $\frac{1}{8}\div\frac{1}{2}=$ _____

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Multiply and divide rational numbers

Full solution

Q. Divide.

\newline

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

_____

Multiply fractions by reciprocal: To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. $\newline$ $\frac{1}{8} \div \frac{1}{2} = \frac{1}{8} \times \frac{2}{1}$
Multiply numerators and denominators: Now, we multiply the numerators together and the denominators together. $\newline$ $\frac{1}{8} \times \frac{2}{1} = \frac{(1 \times 2)}{(8 \times 1)} = \frac{2}{8}$
Simplify fraction: The fraction $\frac{2}{8}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\frac{2}{8} = \frac{2 \div 2}{8 \div 2} = \frac{1}{4}$

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