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

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 numerator of the proper fraction. For example, 9/4 = 2 1/4.

Front

What is the first step in converting 3 1/3 to an improper fraction?

Back

Multiply the whole number (3) by the denominator (3), which equals 9.

Front

What is the second step in converting 3 1/3 to an improper fraction?

Back

Add the numerator (1) to the result from the first step (9), giving you 10.

Front

What is the final step in converting 3 1/3 to an improper fraction?

Back

Place the result (10) over the denominator (3), resulting in 10/3.

Front

Convert 2 2/5 to an improper fraction.

Back

2 2/5 = (2*5 + 2)/5 = 12/5.

Front

Convert 4 1/4 to an improper fraction.

Back

4 1/4 = (4*4 + 1)/4 = 17/4.

Front

Convert 14/3 to a mixed number.

Back

14/3 = 4 2/3.