Adding Fractions (Unlike Denominators)

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

What does it mean to have unlike denominators?

Back

Unlike denominators are denominators that are not the same. For example, in the fractions \(\frac{1}{3}\) and \(\frac{1}{4}\), the denominators 3 and 4 are unlike.

Tags

CCSS.4.NF.A.2

Front

How do you add fractions with unlike denominators?

Back

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

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is a common denominator?

Back

A common denominator is a number that is a multiple of the denominators of two or more fractions. It allows you to add or subtract the fractions.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the first step in adding \(\frac{5}{12} + \frac{1}{3}\)?

Back

The first step is to find a common denominator. The common denominator for 12 and 3 is 12.

Tags

CCSS.7.NS.A.1C

Front

Convert \(\frac{1}{3}\) to a fraction with a denominator of 12.

Back

\(\frac{1}{3} = \frac{4}{12}\) (multiply both the numerator and denominator by 4).

Tags

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

What is the sum of \(\frac{5}{12} + \frac{4}{12}\)?

Back

The sum is \(\frac{9}{12}\).

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

Front

What is the simplified form of \(\frac{9}{12}\)?

Back

The simplified form is \(\frac{3}{4}\).

Front

What is the sum of \(\frac{5}{6} + \frac{1}{12}\)?

Back

The sum is \(\frac{11}{12}\).

Tags

CCSS.7.NS.A.1C

Front

How do you convert \(\frac{5}{6}\) to a fraction with a denominator of 12?

Back

\(\frac{5}{6} = \frac{10}{12}\) (multiply both the numerator and denominator by 2).

Tags

CCSS.3.NF.A.3B

CCSS.4.NF.A.1