Word Problems Involving Addition of Fractions

This video tutorial teaches how to solve word problems involving the addition of fractions with unlike denominators by using a number line. It highlights common mistakes, such as incorrectly adding numerators and denominators, and demonstrates how to visualize fractions on a number line. Two example problems are provided: one involving the addition of border widths and another calculating the total distance Pam walks. The lesson emphasizes the importance of correctly dividing the number line to match the denominators of the fractions being added.

What is a common mistake when adding fractions with unlike denominators?

• Multiplying the numerators and denominators

• Adding the numerators and denominators separately

• Dividing the numerators and denominators

• Subtracting the numerators and adding the denominators

How can number lines help in understanding fractions?

• By simplifying fractions

• By visualizing the size and value of fractions

• By converting fractions to percentages

• By showing the decimal equivalent of fractions

In the example of Peter's picture, what is the total width of the border?

• 1 inch

• 5/6 inch

• 3/4 inch

• 1/2 inch

What is the result of adding 1/2 mile and 1/4 mile using a number line?

• 1/2 mile

• 3/4 mile

• 1 mile

• 1/4 mile

Why is it necessary to redivide the number line when adding fractions like 2/3 and 1/6?

• To convert fractions to decimals

• To ensure the denominators are the same

• To simplify the fractions

• To find the least common multiple