Simplifying Fractions and GCF

Mr. W teaches how to multiply fractions using a cross-canceling strategy. The lesson involves simplifying fractions by finding the greatest common factor (GCF) and then multiplying the numerators and denominators. Two example problems are solved step-by-step to demonstrate the process. The lesson concludes with a review of the steps: simplify using GCF, multiply numerators, and multiply denominators.

What is the first step in multiplying fractions using the cross-canceling strategy?

• Multiply the numerators directly.

• Simplify the fractions using the greatest common factor.

• Add the fractions together.

• Divide the fractions by each other.

What is the purpose of cross-canceling in fraction multiplication?

• To simplify fractions before multiplying.

• To divide fractions.

• To add fractions together.

• To convert fractions to decimals.

What is the greatest common factor (GCF) used for in simplifying fractions?

• To add fractions together.

• To divide both the numerator and denominator to simplify the fraction.

• To multiply fractions directly.

• To find the smallest common multiple.

What happens to the numerator and denominator when a fraction is simplified?

• The numerator decreases and the denominator increases.

• The numerator increases and the denominator decreases.

• They both decrease.

• They both increase.

What is the simplified form of 4/8?

• 3/4

• 2/3

• 1/2

• 4/5

In the example 12/15 * 3/8, what is the GCF of 12 and 8?

• 2

• 6

• 3

• 4

After simplifying 12/15 and 3/8, what is the product of the numerators?

• 12

• 6

• 3

• 9

What is the final simplified result of 12/15 * 3/8?

• 1/2

• 3/10

• 2/5

• 4/9

What is the result of multiplying the denominators in the example 12/15 * 3/8?

• 10

• 12

• 15

• 20

What is the GCF of 15 and 3 in the example 12/15 * 3/8?

• 4

• 1

• 2

• 3