Converting Mixed Numbers and Improper Fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 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, like 9/4.

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 that over the 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

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 mixed number for the improper fraction 13/4?

Back

3 1/4.

Front

What is the mixed number for the improper fraction 17/3?

Back

5 2/3.

Front

What is the improper fraction for the mixed number 3 1/2?

Back

7/2.

Front

What is the improper fraction for the mixed number 4 3/5?

Back

23/5.

Front

If you have 5 1/4, what is the improper fraction?

Back

21/4.

Front

What is the mixed number for the improper fraction 29/8?

Back

3 5/8.