A flight line crew has 18 gallons of specialized hydraulic fluid. They need to fill aircra… — Armed Services Vocational Aptitude Battery (ASVAB)

A flight line crew has $18$ gallons of specialized hydraulic fluid. They need to fill aircraft reservoirs that each require $\frac{3}{4}$ of a gallon of the fluid. How many reservoirs can the crew fill?

A
$13 \frac{1}{2}$
$24$ Cevap
C
$72$
D
$18 \frac{3}{4}$

Cevap

The correct answer is 24 because finding how many times a portion fits into a total requires division. Setting up

18 \div \frac{3}{4}

and multiplying by the reciprocal yields

18 \times \frac{4}{3} = 24

Adım Adım Çözüm

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.

Set up the division expression to find the number of reservoirs.

18 \div \frac{3}{4}

Finding how many times a fractional amount fits into a total requires division.

Convert the division of a fraction into multiplication by its reciprocal.

18 \times \frac{4}{3}

Dividing by a fraction is mathematically equivalent to multiplying by its reciprocal (flipping the numerator and denominator).

Perform the multiplication.

\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.

Anahtar Kavram

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

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