Converting Improper to Mixed and Mixed to Improper

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). For example, 7/4 is an improper fraction.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/3 is a mixed number.

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the proper fraction.

Front

Convert 23/3 to a mixed number.

Back

7 2/3

Front

Convert 12/5 to a mixed number.

Back

2 2/5

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that sum over the original denominator.

Front

Convert 2 1/4 to an improper fraction.

Back

9/4

Front

Convert 7 3/5 to an improper fraction.

Back

38/5

Front

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

Back

Divide the numerator by the denominator.

Front

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

Back

Multiply the whole number by the denominator.