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Difficulty: EasyFraction Multiplication and Division in Context

A flight line crew has 1818 gallons of specialized hydraulic fluid. They need to fill aircraft reservoirs that each require 34\frac{3}{4} of a gallon of the fluid. How many reservoirs can the crew fill?

  1. A
    131213 \frac{1}{2}
  2. 2424Answer
  3. C
    7272
  4. D
    183418 \frac{3}{4}

Answer

24
The correct answer is 24 because finding how many times a portion fits into a total requires division. Setting up 18÷3418 \div \frac{3}{4} and multiplying by the reciprocal yields 18×43=2418 \times \frac{4}{3} = 24.

Step-by-Step Solution

1
Identify the total amount of fluid and the amount needed per reservoir.
Total fluid is 18 gallons; each reservoir requires 3/4 gallon.
Understanding the given quantities is required to set up the correct mathematical operation.
2
Set up the division expression to find the number of reservoirs.
18÷3418 \div \frac{3}{4}
Finding how many times a fractional amount fits into a total requires division.
3
Convert the division of a fraction into multiplication by its reciprocal.
18×4318 \times \frac{4}{3}
Dividing by a fraction is mathematically equivalent to multiplying by its reciprocal (flipping the numerator and denominator).
4
Perform the multiplication.
18×43=723=24\frac{18 \times 4}{3} = \frac{72}{3} = 24
Multiplying the whole number by the numerator and dividing by the denominator yields the final whole number of reservoirs.

Key Concept

Dividing a whole number by a fraction to determine quantities in a real-world scenario.
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Topics

Fraction Multiplication and Division in Context

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