Adding and Subtracting Fractions

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator (LCD). Convert each fraction to an equivalent fraction with the LCD, then add the numerators and keep the denominator the same.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find the least common denominator (LCD). Convert each fraction to an equivalent fraction with the LCD, then subtract the numerators and keep the denominator the same.

Front

What is a Least Common Denominator (LCD)?

Back

The Least Common Denominator (LCD) is the smallest multiple that two or more denominators share. It is used to convert fractions to have a common denominator for addition or subtraction.

Front

How do you find the Least Common Denominator of 1/5 and 2/10?

Back

The denominators are 5 and 10. The least common multiple of 5 and 10 is 10, so the LCD is 10.

Front

What is the first step in adding mixed numbers?

Back

Convert the mixed numbers to improper fractions before adding them.

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.

Front

What is the result of adding 10 3/4 and -7 1/4?

Back

The result is 3 1/2.

Front

What is the result of subtracting 9 5/9 from 6 5/6?

Back

The result is 2 13/18.

Front

How do you add fractions with the same denominator?

Back

Simply add the numerators together and keep the denominator the same.

Front

What is the sum of 4/7 and 1/3?

Back

To add 4/7 and 1/3, find the LCD (21), convert to equivalent fractions (12/21 + 7/21), and the sum is 19/21.