Adding and Subtracting Fractions with unlike denominators

Front

What is the process for adding fractions with unlike denominators?

Back

1. Find a common denominator for both fractions. 2. Convert each fraction to an equivalent fraction with the common denominator. 3. Add the numerators of the converted fractions. 4. Simplify the resulting fraction if possible.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

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 least common multiple (LCM) of 5 and 6?

Back

The LCM of 5 and 6 is 30.

Front

How do you convert a fraction to an equivalent fraction with a different denominator?

Back

Multiply both the numerator and the denominator of the fraction by the same number to create an equivalent fraction.

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

What is the sum of 4/5 and 3/8?

Back

The sum of 4/5 and 3/8 is 1 7/40.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

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

Back

Find a common denominator for both fractions.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

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).

Front

What is the greatest common divisor (GCD) of 12 and 16?

Back

The GCD of 12 and 16 is 4.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 3/5.

Tags

CCSS.3.NF.A.3C

Front

How do you convert an improper fraction to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the proper fraction.