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Divide. $\newline$ $\frac{3}{8}\div\frac{1}{2}=$ _____

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Multiply and divide rational numbers

Full solution

Q. Divide.

\newline

\frac{3}{8}\div\frac{1}{2}=

_____

Convert to multiplication: Convert the division problem into a multiplication problem by multiplying by the reciprocal of the divisor. $\newline$ $\frac{3}{8} \div \frac{1}{2}$ is the same as $\frac{3}{8} \times \frac{2}{1}$ .
Multiply numerators and denominators: Multiply the numerators and the denominators. $(3 \times 2) / (8 \times 1) = 6 / 8$ .
Simplify the fraction: Simplify the fraction if possible. $\newline$ $\frac{6}{8}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\frac{6}{8} = \frac{(6 \div 2)}{(8 \div 2)} = \frac{3}{4}$ .

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