Step 1: Find the GCF of 16 and 24

The factors of 16 are 1, 2, 4, 8, and 16.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

The common factors of 16 and 24 are 1, 2, 4, and 8.

The greatest common factor is 8.

Step 2: Divide by the GCF

16 ÷ 8 = 2

24 ÷ 8 = 3

So, the simplified form of 16/24 is 2/3.

Step 1: Find the GCF of 30 and 45

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

The factors of 45 are 1, 3, 5, 9, 15, and 45.

The common factors of 30 and 45 are 1, 3, 5, and 15.

The greatest common factor is 15.

Step 2: Divide by the GCF

30 ÷ 15 = 2

45 ÷ 15 = 3

So, the simplified form of 30/45 is 2/3.

Step 1: Find the GCF of 48 and 64

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.

The common factors of 48 and 64 are 1, 2, 4, 8, and 16.

The greatest common factor is 16.

Step 2: Divide by the GCF

48 ÷ 16 = 3

64 ÷ 16 = 4

So, the simplified form of 48/64 is 3/4.

.Study GuideSimplify Fractions Activity LessonMatching Fraction Cards Worksheet/Answer key

Simplify Fractions Worksheet/Answer key

Simplify Fractions Worksheet/Answer key

Simplify Fractions Worksheet/Answer keySimplifying Fractions Vocabulary/Answer key

Simplify Fractions

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.