Dividing Mixed Numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2\frac{1}{3}.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2\frac{1}{3} becomes \frac{2 \times 3 + 1}{3} = \frac{7}{3}.

Front

What is the first step in dividing mixed numbers?

Back

Convert each mixed number to an improper fraction.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction \frac{a}{b} is \frac{b}{a}.

Front

What is the result of \frac{4}{9} \div \frac{1}{2}?

Back

The result is \frac{8}{9}.

Front

What is the result of 4\frac{1}{8} \div 1\frac{5}{6}?

Back

The result is 2\frac{1}{4}.

Front

What is the result of 1\frac{2}{3} \div 3\frac{1}{4}?

Back

The result is \frac{20}{39}.

Front

What is the result of 1\frac{1}{2} \div 4\frac{2}{8}?

Back

The result is \frac{6}{17}.

Front

What is the result of \frac{8}{10} \div 1\frac{5}{6}?

Back

The result is \frac{24}{55}.