Converting Fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a 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 5/4 or 3/2.

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 original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

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 new numerator over the original denominator. For example, 5/4 = 1 1/4.

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 simplifies to 1/2.

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

Back

Divide the numerator by the denominator.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms.

Front

What is the improper fraction for the mixed number 3 1/2?

Back

7/2.

Front

What is the mixed number for the improper fraction 9/4?

Back

2 1/4.