Adding and Converting Fractions

This video tutorial explains how to add fractions using tape diagrams to visually demonstrate why the standard algorithm works. It covers examples of adding fractions like 2/3 and 1/4, 3/4 and 2/5, and 2/3 and 1/5, showing how to find common denominators and convert fractions to have the same intervals. The video aims to help students understand the connection between visual representations and the standard algorithm for adding fractions.

Why is it important to have common denominators when adding fractions?

• To ensure the fractions are equivalent.

• To make the fractions look nicer.

• To avoid using tape diagrams.

• To simplify the fractions.

What is the first step in adding 2/3 and 1/4 using tape diagrams?

• Convert fractions to decimals.

• Shade the entire tape diagram.

• Multiply the fractions.

• Draw two whole tape diagrams.

How do you convert 2/3 into a fraction with a denominator of 12?

• Multiply both the numerator and denominator by 3.

• Subtract 1 from the denominator.

• Add 4 to the numerator.

• Multiply both the numerator and denominator by 4.

What is the result of adding 2/3 and 1/4 after converting to a common denominator?

• 8/12

• 9/12

• 10/12

• 11/12

When adding 3/4 and 2/5, what is the first step using tape diagrams?

• Subtract the smaller fraction from the larger one.

• Add the numerators directly.

• Convert fractions to percentages.

• Draw tape diagrams for each fraction.

How do you convert 3/4 into a fraction with a denominator of 20?

• Add 5 to the numerator.

• Multiply both the numerator and denominator by 4.

• Subtract 1 from the denominator.

• Multiply both the numerator and denominator by 5.

What is the result of adding 3/4 and 2/5 after converting to a common denominator?

• 21/20

• 22/20

• 23/20

• 20/20

In the final example, what is the first step in adding 2/3 and 1/5?

• Subtract the smaller fraction from the larger one.

• Draw tape diagrams for each fraction.

• Convert fractions to decimals.

• Add the numerators directly.

How do you convert 2/3 into a fraction with a denominator of 15?

• Multiply both the numerator and denominator by 5.

• Multiply both the numerator and denominator by 3.

• Add 5 to the numerator.

• Subtract 1 from the denominator.

What is the result of adding 2/3 and 1/5 after converting to a common denominator?

• 12/15

• 13/15

• 11/15

• 10/15