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Simplify. Write your answer as a proper or improper fraction in simplest form. $\newline$ $\frac{\frac{9}{8} }{ \frac{7}{4} }=\frac{\square}{\square}$

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Simplify complex fractions

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Q. Simplify. Write your answer as a proper or improper fraction in simplest form.

\newline

\frac{\frac{9}{8} }{ \frac{7}{4} }=\frac{\square}{\square}

Divide by Reciprocal: What is the multiplication form of $\frac{9}{8}$ divided by $\frac{7}{4}$ ? $\newline$ Dividing by a fraction is the same as multiplying by its reciprocal. $\newline$ $\frac{9}{8} \div \frac{7}{4} = \frac{9}{8} \times \frac{4}{7}$
Multiply Fractions: Multiply $\frac{9}{8}$ by $\frac{4}{7}$ . $\newline$ $\frac{9}{8} \times \frac{4}{7}$ $\newline$ $= \frac{(9 \times 4)}{(8 \times 7)}$ $\newline$ $= \frac{36}{56}$
Simplify Fraction: Simplify the fraction $\frac{36}{56}$ to its simplest form. $\newline$ Both the numerator and the denominator are divisible by $8$ . $\newline$ $\frac{36}{56} = \left(\frac{36 \div 8}{56 \div 8}\right)$ $\newline$ $= \frac{4.5}{7}$

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