Solving Word Problems with Fractions on a Number Line

This video tutorial teaches how to solve word problems involving the addition of fractions with unlike denominators using number lines. It highlights common mistakes, such as incorrectly adding numerators and denominators, and demonstrates how to visualize fractions on a number line. The tutorial includes examples like calculating the total border width of a picture and determining the total distance Pam walks. By the end, viewers will understand how to use number lines to accurately add fractions and solve related word problems.

What is the main method taught in this lesson to solve word problems involving addition of fractions with unlike denominators?

• Memorizing fraction rules

• Using a calculator

• Drawing a number line

• Using a fraction chart

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

• Multiplying the numerators and denominators

• Adding the numerators and denominators directly

• Dividing the numerators and denominators

• Subtracting the numerators and denominators

Why is it incorrect to add the numerators and denominators directly when adding fractions?

• Because it results in a mixed number

• Because it results in a smaller fraction

• Because it results in an incorrect fraction

• Because it results in a larger fraction

What is the purpose of using a number line to add fractions?

• To visualize the fractions

• To convert fractions to decimals

• To divide fractions

• To multiply fractions

How is a number line divided to represent fractions?

• Into equal parts based on the denominators

• Into random parts

• Into parts based on whole numbers

• Into parts based on the numerators

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

• One whole inch

• Five-sixths of an inch

• One-sixth of an inch

• Two-thirds of an inch

How do you adjust the number line when adding fractions with different denominators?

• Add the denominators together

• Redivide the number line into equal parts based on the new denominator

• Use a different number line for each fraction

• Ignore the denominators

How far does Pam walk in total if she walks one-half mile to school and one-fourth mile to the store?

• One-fourth mile

• One-half mile

• Three-fourths of a mile

• One mile

What is the first step in solving the problem of Pam's walking distance using a number line?

• Convert the distances to decimals

• Divide the number line into fourths

• Divide the number line into halves

• Add the distances directly

What is the final step in adding fractions with unlike denominators using a number line?

• Shade the number line up to the sum

• Divide the number line into equal parts

• Label the number line

• Convert the fractions to have the same denominator