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Lesson 4: Explore part-to-whole relationships. — Practice Questions

  1. 1. If 18 is $\frac{2}{3}$ of a number, what is the number? ___

  2. 2. A car's fuel tank is $\frac{3}{5}$ full. If it contains 9 gallons of gas, what is the total capacity of the tank in gallons?

    • A. 12
    • B. 15
    • C. 18
    • D. 24
  3. 3. The value 45 represents $\frac{5}{9}$ of an unknown number. The unknown number is ___.

  4. 4. If 24 is $\frac{4}{7}$ of a number, what is the first step to find the value of one unit part?

    • A. $24 \times 4$
    • B. $24 \div 4$
    • C. $24 \times 7$
    • D. $24 \div 7$
  5. 5. If 21 is $\frac{7}{3}$ of a number, what is that number? ___

  6. 6. You used 120 grams of flour, which is $\frac{3}{4}$ of the amount a recipe requires. How many grams of flour does the recipe require in total?

    • A. 150
    • B. 160
    • C. 180
    • D. 200
  7. 7. If 36 is $\frac{4}{5}$ of a whole, the value of the whole is ___.

  8. 8. A sale price of an item is 30 dollars. This price is $\frac{6}{5}$ of the original price. What was the original price?

    • A. 24 dollars
    • B. 25 dollars
    • C. 35 dollars
    • D. 36 dollars
  9. 9. If $\frac{1}{2}$ of the water in Tank A is equal to $\frac{3}{5}$ of the water in Tank B, and the total volume is 110 liters, what is the volume in Tank A in liters? ___

  10. 10. If $\frac{2}{3}$ of the red marbles in a bag equals $\frac{4}{7}$ of the blue marbles, what is the ratio of the number of red marbles to blue marbles?

    • A. 6:7
    • B. 7:6
    • C. 3:7
    • D. 2:4