Adding and Subtracting Fractions with Unlike Denominators Word Problems

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

Front

What does it mean to have unlike denominators in fractions?

Back

Unlike denominators are when the denominators of two or more fractions are different, making it necessary to find a common denominator to add or subtract them.

Front

How do you find a common denominator for two fractions?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions.

Front

What is the first step in adding fractions with unlike denominators?

Back

The first step is to find a common denominator for the fractions.

Front

How do you subtract fractions with unlike denominators?

Back

To subtract fractions with unlike denominators, first find a common denominator, convert the fractions, and then subtract the numerators.

Front

What is the process of converting fractions to have a common denominator?

Back

Multiply the numerator and denominator of each fraction by the necessary factor to make the denominators equal.

Front

If Mrs. Dombkowski ate 1/3 of a pizza and Ms. Chaney ate 5/12, how do you find how much more pizza Ms. Chaney ate?

Back

Convert 1/3 to 4/12, then subtract: 5/12 - 4/12 = 1/12.

Front

How do you add mixed numbers?

Back

Convert mixed numbers to improper fractions, find a common denominator, add the fractions, and convert back to a mixed number if necessary.

Front

What is the sum of 1/2 and 1/8?

Back

Convert 1/2 to 4/8, then add: 4/8 + 1/8 = 5/8.

Front

How do you determine the total amount eaten from a cake if Joe eats 1/2, 1/8, and his brother eats 1/4?

Back

Convert all fractions to have a common denominator (8): 1/2 = 4/8, 1/4 = 2/8. Then add: 4/8 + 1/8 + 2/8 = 7/8.