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Ryan runs 3/4 miles. This distance is 2/3 of his daily running goal. What is Ryan's total running goal in...

23. Ryan runs 3/4 miles. This distance is 2/3 of his daily running goal. What is Ryan's total running goal in miles for 3 days?
24. Which situations can be represented by 6 ÷ 1/2? Choose all that apply.
A. The number of hours a plane has been in the air if it has flown 1/2 of its 6-hour flight
B. The number of 1/2-pound burgers that can be made with 6 pounds of meat
C. The number of pieces of chocolate if 6 chocolate bars are split in half
D. The weight of Kelly's bookbag if he has 6 binders that each weigh 1/2 pound
E. The total number of eggs Blake needs to make an omelet if 6 eggs is 1/2 of the total number of eggs he needs
F. The amount of trail mix in each bag if Ryan splits 1/2 pound of trail mix equally among 6 bags

Answer

  1. Ryan's daily running goal is calculated by dividing the distance he runs by the fraction of his goal that it represents:
    Daily goal = (3/4) ÷ (2/3) = 3/4 × 3/2 = 9/8 miles.
    Therefore, his total running goal for 3 days is:
    Total goal = 3 × 9/8 = 27/8 = 3.375 miles.

  2. The situations that can be represented by 6 ÷ 1/2 are:
    B. The number of 1/2-pound burgers that can be made with 6 pounds of meat.
    C. The number of pieces of chocolate if 6 chocolate bars are split in half.

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