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 1/2.

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 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, 3 3/5 = (3*5 + 3)/5 = 18/5.

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, 14/3 = 4 2/3.

Front

Back

Divide 43 by 6, which equals 7 with a remainder of 1.

Front

Back

6 1/6.

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.

Front

What is the improper fraction for the mixed number 3 1/6?

Back

Front

How do you identify the whole number in a mixed number?

Back

The whole number is the part before the fraction. For example, in 4 2/3, the whole number is 4.

Front

What is the process to simplify an improper fraction?

Back

Divide the numerator and denominator by their greatest common factor (GCF).