QuestionAugust 25, 2025

Divide the fractions below and leave your answers as mixed numbers or reduced fractions. (5)/(6)div (1)/(9)=square (1)/(3)div (3)/(6)=square (8)/(9)div (11)/(12)=square (7)/(10)div (11)/(15)=square

Divide the fractions below and leave your answers as mixed numbers or reduced fractions. (5)/(6)div (1)/(9)=square (1)/(3)div (3)/(6)=square (8)/(9)div (11)/(12)=square (7)/(10)div (11)/(15)=square
Divide the fractions below and leave your answers as mixed numbers or reduced fractions. (5)/(6)div (1)/(9)=square (1)/(3)div (3)/(6)=square (8)/(9)div (11)/(12)=square (7)/(10)div (11)/(15)=square

Solution
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Answer

\frac{5}{6} \div \frac{1}{9} = \frac{5}{6} \times \frac{9}{1} = \frac{45}{6} = \frac{15}{2} = 7\frac{1}{2} ### \frac{1}{3} \div \frac{3}{6} = \frac{1}{3} \times \frac{6}{3} = \frac{6}{9} = \frac{2}{3} ### \frac{8}{9} \div \frac{11}{12} = \frac{8}{9} \times \frac{12}{11} = \frac{96}{99} = \frac{32}{33} ### \frac{7}{10} \div \frac{11}{15} = \frac{7}{10} \times \frac{15}{11} = \frac{105}{110} = \frac{21}{22} Explanation 1. Divide the fractions To divide fractions, multiply by the reciprocal. For \frac{a}{b} \div \frac{c}{d}, compute \frac{a}{b} \times \frac{d}{c}. 2. Simplify the result Reduce the resulting fraction to its simplest form or convert it to a mixed number if necessary.

Explanation

1. Divide the fractions<br /> To divide fractions, multiply by the reciprocal. For $\frac{a}{b} \div \frac{c}{d}$, compute $\frac{a}{b} \times \frac{d}{c}$.<br /><br />2. Simplify the result<br /> Reduce the resulting fraction to its simplest form or convert it to a mixed number if necessary.
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