Adding Fractions

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that common denominator, and then add the numerators while keeping the common denominator.

Front

What is a common denominator?

Back

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

Front

How do you find the least common denominator (LCD) of two fractions?

Back

To find the least common denominator (LCD), list the multiples of each denominator and identify the smallest multiple that appears in both lists.

Front

What is the sum of 1/2 and 5/10?

Back

1/2 + 5/10 = 1, since 5/10 is equivalent to 1/2.

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 the result over the original denominator.

Front

What is the result of adding 2/3 and 3/5?

Back

2/3 + 3/5 = 1 4/15.

Front

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

Back

4/7 + 3/4 = 1 9/28.

Front

What is the result of adding 9/10 and 1/3?

Back

9/10 + 1/3 = 1 7/30.

Front

What is the result of adding 12/46 and 15/23?

Back

12/46 + 15/23 = 21/23.

Front

What is the importance of simplifying fractions after addition?

Back

Simplifying fractions after addition is important to express the result in its simplest form, making it easier to understand and use.