Adding and Subtracting Fractions

Front

What is the process for subtracting fractions with the same denominator?

Back

To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same. For example, 9/10 - 7/10 = (9-7)/10 = 2/10.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, 12/20 can be simplified by dividing both by 4, resulting in 3/5.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions. It is used to add or subtract fractions with different denominators.

Front

How do you find a common denominator for 1/3 and 1/4?

Back

To find a common denominator for 1/3 and 1/4, identify the least common multiple (LCM) of the denominators. The LCM of 3 and 4 is 12, so the common denominator is 12.

Front

What is the result of 1/2 - 1/4?

Back

1/2 - 1/4 = 2/4 - 1/4 = 1/4.

Front

What is the first step in subtracting fractions with different denominators?

Back

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

Front

What does it mean to have like fractions?

Back

Like fractions are fractions that have the same denominator, making it easier to add or subtract them.

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. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the result of 5/6 - 1/3?

Back

5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2 after simplification.

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and work with, and it can help in comparing fractions.