dividing fractions

Front

What is the process of dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is the reciprocal of a fraction?

Back

Front

Back

@@\frac{11}{12} \div \frac{1}{2} = \frac{11}{12} \times \frac{2}{1} = \frac{11 \times 2}{12 \times 1} = \frac{22}{12} = \frac{11}{6}$$.

Front

Back

Front

Back

@@\frac{2}{5} \div \frac{4}{7} = \frac{2}{5} \times \frac{7}{4} = \frac{2 \times 7}{5 \times 4} = \frac{14}{20} = \frac{7}{10}$$.

Front

Back

@@\frac{5}{9} \div \frac{4}{9} = \frac{5}{9} \times \frac{9}{4} = \frac{5 \times 9}{9 \times 4} = \frac{5}{4}$$.

Front

Back

@@\frac{1}{2} \div \frac{2}{3} = \frac{1}{2} \times \frac{3}{2} = \frac{1 \times 3}{2 \times 2} = \frac{3}{4}$$.

Front

What is the first step in dividing fractions?

Back

The first step is to find the reciprocal of the second fraction.

Front

What does it mean to multiply by the reciprocal?

Back

Multiplying by the reciprocal means to multiply the first fraction by the flipped version of the second fraction.

Front

What is an example of dividing fractions?

Back

An example is @@\frac{3}{4} \div \frac{1}{2} = \frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}$$.