Simplify Fractions

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

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 simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

How do you simplify the fraction 16/32?

Back

Divide both the numerator and denominator by their GCF, which is 16. So, 16 ÷ 16 = 1 and 32 ÷ 16 = 2, resulting in 1/2.

Front

What is the simplified form of 35/45?

Back

The GCF of 35 and 45 is 5. Divide both by 5: 35 ÷ 5 = 7 and 45 ÷ 5 = 9, resulting in 7/9.

Front

What is the simplified form of 36/54?

Back

The GCF of 36 and 54 is 18. Divide both by 18: 36 ÷ 18 = 2 and 54 ÷ 18 = 3, resulting in 2/3.

Front

What is the relationship between GCF and simplifying fractions?

Back

The GCF is used to simplify fractions by dividing the numerator and denominator by their GCF.

Front

What is the simplified form of 12/16?

Back

The GCF of 12 and 16 is 4. Divide both by 4: 12 ÷ 4 = 3 and 16 ÷ 4 = 4, resulting in 3/4.

Front

What is the simplified form of 8/24?

Back

The GCF of 8 and 24 is 8. Divide both by 8: 8 ÷ 8 = 1 and 24 ÷ 8 = 3, resulting in 1/3.