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Divide. $\newline$ $\frac{1}{8}\div\frac{1}{4}=$ _____

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Multiply and divide rational numbers

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Q. Divide.

\newline

\frac{1}{8}\div\frac{1}{4}=

_____

Identify Multiplication Form: Identify the multiplication form of $\frac{1}{8} \div \frac{1}{4}$ . $\newline$ Dividing by a number is the same as multiplying by its reciprocal. $\newline$ $\frac{1}{8} \div \frac{1}{4} = \frac{1}{8} \times \frac{4}{1}$
Multiply Fractions: Multiply $\frac{1}{8}$ by $\frac{4}{1}$ . $\newline$ $\frac{1}{8} \times \frac{4}{1} = \left(\frac{1 \times 4}{8 \times 1}\right)$ $= \frac{4}{8}$
Simplify Fraction: Simplify the fraction $\frac{4}{8}$ . $\newline$ $4$ and $8$ are both divisible by $4$ . $\newline$ $4 \div 4 = 1$ $\newline$ $8 \div 4 = 2$ $\newline$ So, $\frac{4}{8}$ simplifies to $\frac{1}{2}$ .

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