Adding Fractions with Unlike Denominators

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 17/5.

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

Front

What is a common denominator?

Back

A common denominator is a number that is a multiple of the denominators of two or more fractions, allowing them to be added or compared.

Front

What is the least common multiple (LCM)?

Back

The least common multiple is the smallest multiple that two or more numbers share. It is often used to find a common denominator.

Front

Convert the mixed number 3 1/4 to an improper fraction.

Back

3 1/4 = (3*4 + 1)/4 = 13/4.

Front

What is the common denominator for 1/5 and 5/6?

Back

The common denominator is 30.

Front

Which of these numbers could NOT be a common denominator for 1/6 and 1/4: 12, 18, 24, 36?

Back

18 could NOT be a common denominator.

Front

How do you find a common denominator for two fractions?

Back

List the multiples of each denominator and find the smallest multiple that appears in both lists.

Front

What is the process to add fractions with unlike denominators?

Back

1. Find a common denominator. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Add the numerators and keep the common denominator.

Front

Convert 7/4 to a mixed number.

Back

7/4 = 1 3/4.