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Lesson 4: Subtract fractions from numbers between 1 and 2. — Practice Questions

  1. 1. Use the modeling method to subtract. What is the result of $1\frac{1}{2} - \frac{3}{5}$? Express your answer as a fraction. The answer is ___.

  2. 2. To model the subtraction problem $1\frac{1}{5} - \frac{1}{2}$, what is the least number of equal parts you should partition each rectangle into?

    • A. 5
    • B. 7
    • C. 10
    • D. 2
  3. 3. A painter has $1\frac{1}{6}$ gallons of paint. He uses $\frac{1}{4}$ of a gallon for a project. How much paint is left? The answer is ___ gallons.

  4. 4. When modeling $1\frac{2}{5} - \frac{1}{2}$, the mixed number $1\frac{2}{5}$ is represented as an improper fraction using the common denominator. What is this equivalent improper fraction?

    • A. $\frac{7}{5}$
    • B. $\frac{12}{10}$
    • C. $\frac{14}{10}$
    • D. $\frac{7}{10}$
  5. 5. Calculate the difference: $1\frac{3}{4} - \frac{5}{6}$. Express your answer as a fraction. The answer is ___.

  6. 6. To solve $1\frac{1}{4} - \frac{1}{3}$ with a rectangular model, you first show $1\frac{3}{12}$ and then cross out some parts. How many twelfths should you cross out?

    • A. 1 twelfth
    • B. 3 twelfths
    • C. 4 twelfths
    • D. 8 twelfths
  7. 7. A path is $1\frac{2}{3}$ miles long. Sarah has already walked $\frac{7}{9}$ of a mile. How much farther does she have to walk? The answer is ___ miles.

  8. 8. A recipe needs $1\frac{1}{3}$ cups of flour, but you only have $\frac{3}{4}$ of a cup. How much more flour do you need?

    • A. $\frac{1}{12} \text{ cup}$
    • B. $\frac{5}{12} \text{ cup}$
    • C. $\frac{7}{12} \text{ cup}$
    • D. $\frac{1}{2} \text{ cup}$
  9. 9. Calculate the difference: $1\frac{1}{4} - \frac{1}{2} = \_\_\_$.

  10. 10. To solve $1\frac{1}{5} - \frac{1}{3}$ using a rectangular model, what is the least number of equal parts you should partition each rectangle into?

    • A. 5
    • B. 8
    • C. 15
    • D. 3