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Divide. $\newline$ $\frac{3}{5} \div \frac{6}{7} =$ _____

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Multiply and divide rational numbers

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Q. Divide.

\newline

\frac{3}{5} \div \frac{6}{7} =

_____

Divide and Multiply: What is the multiplication form of $\frac{3}{5} \div \frac{6}{7}$ ? $\newline$ Dividing by a number is the same as multiplying by its reciprocal. $\newline$ $\frac{3}{5} \div \frac{6}{7} = \frac{3}{5} \times \frac{7}{6}$
Calculate Multiplication: Multiply $\frac{3}{5} \times \frac{7}{6}$ . $\newline$ $\frac{3}{5} \times \frac{7}{6} = \left(\frac{3 \times 7}{5 \times 6}\right)$ $\newline$ $= \frac{21}{30}$
Simplify Fraction: Simplify the fraction $\frac{21}{30}$ . Both the numerator and the denominator are divisible by $3$ . $21 \div 3 = 7$ $30 \div 3 = 10$ So, $\frac{21}{30}$ simplifies to $\frac{7}{10}$ .

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