Improper Fractions and Mixed Numbers

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). For example, 9/4 is an improper fraction.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/3 is a mixed number.

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, 6 1/3 = (6*3 + 1)/3 = 19/3.

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, 7/2 = 3 1/2.

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. For example, 4/8 can be simplified to 1/2.

Front

What is the first step in converting 30/4 to a mixed number?

Back

Divide 30 by 4 to find how many whole numbers fit into it. 30 ÷ 4 = 7 with a remainder of 2.

Front

What is the remainder when converting an improper fraction to a mixed number?

Back

The remainder is the part of the numerator that is left after dividing by the denominator. It becomes the new numerator in the mixed number.

Front

What does the term 'numerator' mean?

Back

The numerator is the top number of a fraction that indicates how many parts are being considered.

Front

What does the term 'denominator' mean?

Back

The denominator is the bottom number of a fraction that indicates how many equal parts the whole is divided into.

Front

What is 3/2 as a mixed number?

Back

3/2 can be written as 1 1/2.