Converting Mixed Numbers and Improper Fractions

Front

What is a mixed number?

Back

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

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as \frac{5}{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, for 2 \frac{1}{3}, it becomes \frac{2 \times 3 + 1}{3} = \frac{7}{3}.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the denominator is the fraction. For example, \frac{8}{3} becomes 2 \frac{2}{3}.

Front

Convert the mixed number 3 \frac{2}{3} to an improper fraction.

Back

3 \frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{11}{3}.

Front

Convert the improper fraction \frac{19}{7} to a mixed number.

Back

\frac{19}{7} = 2 \frac{5}{7}.

Front

What is the first step in converting a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator.

Front

What is the first step in converting an improper fraction to a mixed number?

Back

Divide the numerator by the denominator.

Front

Convert the mixed number 2 \frac{2}{3} to an improper fraction.

Back

2 \frac{2}{3} = \frac{2 \times 3 + 2}{3} = \frac{8}{3}.

Front

Convert the improper fraction \frac{8}{3} to a mixed number.

Back

\frac{8}{3} = 2 \frac{2}{3}.