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Divide. $\newline$ $\frac{4}{5}\div\frac{2}{3}=$ _____

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Multiply and divide rational numbers

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Q. Divide.

\newline

\frac{4}{5}\div\frac{2}{3}=

_____

Dividing by Reciprocal: What is the multiplication form of $\frac{4}{5} \div \frac{2}{3}$ ? $\newline$ Dividing by a number is the same as multiplying by its reciprocal. $\newline$ $\frac{4}{5} \div \frac{2}{3} = \frac{4}{5} \times \frac{3}{2}$
Multiply Fractions: Multiply $\frac{4}{5}$ by $\frac{3}{2}$ . $\newline$ $\frac{4}{5} \times \frac{3}{2} = \frac{(4 \times 3)}{(5 \times 2)} = \frac{12}{10}$
Simplify Fraction: Simplify the fraction $\frac{12}{10}$ . $\newline$ $\frac{12}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\frac{12}{10} = \frac{(12 \div 2)}{(10 \div 2)}$ $= \frac{6}{5}$

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