Fraction Subtraction Model

The shaded part of the model represents a fraction. The X in the model represents another fraction that was subtracted from the first fraction. What subtraction expression does the model represent?

• \( \frac{2}{3} \)

• \( \frac{1}{3} \)

• \( \frac{1}{6} \)

• \( \frac{1}{2} \)

• \( \frac{1}{4} \)

Answer explanation

The correct subtraction expression represented by the model is ( 2/3 - 1/3 = 1/3 ). Therefore, the shaded part represents 2/3 and the X represents 1/3.

An equation is modeled on the number line.

• \( \frac{7}{8} - \frac{1}{4} = \frac{6}{8} \)

• \( \frac{7}{8} + \frac{1}{4} = \frac{9}{8} \)

• \( \frac{7}{8} - \frac{1}{4} = \frac{5}{8} \)

• \( \frac{7}{8} + \frac{2}{8} = \frac{9}{16} \)

Answer explanation

Choose the correct answer by subtracting fractions: 7/8 - 1/4 = 5/8

Vanna used the fraction strips shown to help her determine the difference between 5/6 and 1/4. What is 5/6 - 1/4?

• 1/5

• 7/12

• 1/2

• 5/8

Answer explanation

The difference between 5/6 and 1/4 is found by subtracting the fractions. Using the fraction strips, Vanna determined that 5/6 - 1/4 = 7/12.

The shaded part of the model represents a fraction. Another fraction was subtracted from the first fraction. Which expression does the model represent?

• \( \frac{11}{15} - \frac{1}{6} \)

• \( \frac{11}{12} - \frac{6}{12} \)

• \( \frac{6}{15} - \frac{4}{15} \)

• \( \frac{11}{15} - \frac{2}{5} \)

Answer explanation

The correct choice is (11/15) - (2/5) because the shaded part represents (11/15) and subtracting another fraction from it gives (11/15) - (2/5).

What fraction of the candy bar did Cara and Marcus eat altogether?

• 11/12

• 9/16

• 1/12

• 9/24

Answer explanation

To find the fraction of the candy bar Cara and Marcus ate altogether, add their individual fractions: 1/2 + 5/6 = 11/12. Therefore, the correct answer is 11/12.

Mrs. Ali collected notebook paper from her students at the beginning of the school year. The model is shaded to show the fraction of this notebook paper that Mrs. Ali used in each of the three months.

• 3/8

• 7/8

• 3/14

• 1/8

Answer explanation

Mrs. Ali used 7/8 of the notebook paper over the three months, as shown in the shaded areas. Therefore, the correct answer is 7/8.

Jacqueline works 5 days a week. She spends 1/3 of each day at work. The model is shaded to represent the amount of time Jacqueline spends at work each week. Which expression can be used to determine the number of days Jacqueline works each week?

• 5 + 1/2

• 5 + 1/3

• 5 x 1/2

• 5 x 1/3

Answer explanation

Answer Explanation highlighting the correct choice: 5 x 1/3

Darenda worked for 3 weeks. The shaded parts of the model represent the fraction of each week she worked from her home office.

• 3 + 3/4

• 3 + 3/7

• 3 x 3/4

• 3 x 3/7

Answer explanation

The correct choice is 3 x 3/7 because Darenda worked for 3 weeks, and the shaded parts represent 3/7 of each week she worked from her home office.

Which model represents 3/5 of 15?

• Diagram F

• Diagram G

• Diagram H

• Diagram J

Weather delayed 4/6 of the 24 flights departing from an airport. All the departing flights are listed in the chart. How many flights departing from the airport were delayed by weather?

• 18

• 4

• 16

• 8