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 1/3.

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 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 the 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

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

Convert the mixed number 3 2/5 to an improper fraction.

Back

3 2/5 = (3*5 + 2)/5 = 17/5.

Front

Convert the improper fraction 11/3 to a mixed number.

Back

11/3 = 3 2/3.

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

Convert the mixed number 4 1/2 to an improper fraction.

Back

4 1/2 = (4*2 + 1)/2 = 9/2.

Front

Convert the improper fraction 15/4 to a mixed number.

Back

15/4 = 3 3/4.

Front

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

Back

Multiply the whole number by the denominator.