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

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 second step in converting a mixed number to an improper fraction?

Back

Add the numerator to the result from the first step.

Front

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

Back

Place the result from the second step over the original denominator.

Front

What does the fraction 7 1/4 represent as an improper fraction?

Back

7 1/4 = (7*4 + 1)/4 = 29/4.

Front

What is the improper fraction for 3 2/5?

Back

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

Front

What is the mixed number for the improper fraction 18/8?

Back

18/8 = 2 2/8 or 2 1/4.