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Divide. $\newline$ $\frac{5}{8}\div\frac{1}{4}=$ _____

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Multiply and divide rational numbers

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Q. Divide.

\newline

\frac{5}{8}\div\frac{1}{4}=

_____

Divide and Multiply: What is the multiplication form of $\frac{5}{8} \div \frac{1}{4}$ ? $\newline$ Dividing by a number is the same as multiplying by its reciprocal. $\newline$ $\frac{5}{8} \div \frac{1}{4} = \frac{5}{8} \times \frac{4}{1} = \left(\frac{5 \times 4}{8 \times 1}\right)$ $= \frac{20}{8}$
Simplify Fraction: Simplify the fraction $\frac{20}{8}$ . $\newline$ $\frac{20}{8}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ . $\newline$ $20 \div 4 = 5$ $\newline$ $8 \div 4 = 2$ $\newline$ So, $\frac{20}{8}$ simplifies to $\frac{5}{2}$ .

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