Dividing Mixed Numbers

Front

What is a mixed number?

Back

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

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}{2} = \frac{(2 \times 2) + 1}{2} = \frac{5}{2}.

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 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

How do you simplify a fraction?

Back

Divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the GCD of 8 and 12?

Back

The GCD of 8 and 12 is 4.

Front

What is the result of dividing 6 \frac{2}{3} by 2 \frac{1}{2}?

Back

The result is 2 \frac{2}{3}.

Front

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

Back

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

Front

What is the result of dividing 1 \frac{3}{4} by 2 \frac{1}{6}?

Back

The result is \frac{21}{26}.