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. For example, 2 1/3 is a mixed number.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 9/4 is an improper fraction.

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 result over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

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 is the new numerator over the original denominator. For example, 9/4 = 2 1/4.

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

What does the fraction 18/8 represent as a mixed number?

Back

2 2/8 or 2 1/4.

Front

What does the fraction 29/4 represent as a mixed number?

Back

7 1/4.

Front

What is the relationship between mixed numbers and improper fractions?

Back

Mixed numbers can be converted to improper fractions and vice versa; they represent the same value in different forms.

Front

What is the improper fraction for the mixed number 3 2/5?

Back

The improper fraction is 17/5.