Adding and Subtracting Fractions with Unlike Denominators

This video tutorial explains how to add and subtract fractions with unlike denominators. It emphasizes the importance of having the same units or denominators to perform these operations. The tutorial uses visual models to demonstrate partitioning and overlaying techniques to find common denominators. It provides a step-by-step guide to calculating common denominators and adding fractions. The video concludes with a recap and a brief introduction to subtracting fractions.

Why is it necessary to have the same units or denominations when adding or subtracting fractions?

• To simplify the fractions.

• To avoid confusion with whole numbers.

• To make the fractions easier to read.

• To ensure the fractions are equivalent.

What does the denominator of a fraction represent?

• The value of each part.

• The total number of equal parts.

• The number of parts being considered.

• The sum of the parts.

How do you visually represent the fraction 2/3?

• By shading in 3 out of 3 equal parts.

• By shading in 2 out of 5 equal parts.

• By shading in 3 out of 5 equal parts.

• By shading in 2 out of 3 equal parts.

When partitioning a whole into fifths, how should the lines be drawn for the second fraction?

• Horizontally

• Randomly

• Vertically

• Diagonally

What is the purpose of overlaying partition lines from one fraction onto another?

• To create equivalent fractions with a common denominator.

• To change the value of the fractions.

• To simplify the fractions.

• To make the fractions look different.

How many equal parts are there when you partition a whole into thirds and then overlay it with fifths?

• 20

• 15

• 12

• 10

What do you multiply the numerator and denominator of 2/3 by to get a common denominator with 1/5?

• 5

• 10

• 3

• 2

What is the equivalent fraction of 1/5 when the common denominator is 15?

• 1/3

• 1/15

• 3/15

• 5/15

What is the sum of 10/15 and 3/15?

• 10/15

• 3/15

• 13/15

• 15/15

If you need to subtract 3/15 from 10/15, what is the result?

• 7/15

• 10/15

• 3/15

• 13/15