A motor pool technician is preparing a specialized coolant mixture. A full batch requires … — Armed Services Vocational Aptitude Battery (ASVAB)

A motor pool technician is preparing a specialized coolant mixture. A full batch requires $\frac{4}{5}$ of a gallon of antifreeze. If the technician needs to prepare exactly $\frac{1}{3}$ of a batch for a small all-terrain vehicle, how much antifreeze is required?

$\frac{4}{15}$ Cevap
B
$\frac{5}{8}$
C
$2 \frac{2}{5}$
D
$\frac{7}{15}$

Cevap

The technician requires

\frac{4}{15}

of a gallon of antifreeze.

To calculate a fractional portion of an existing fraction, you must multiply the two values. Multiplying the numerators (

4 \times 1

) yields

4

, and multiplying the denominators (

5 \times 3

) yields

15

. This makes the correct amount

\frac{4}{15}

of a gallon.

Adım Adım Çözüm

Identify the operation required to find a fraction of a given quantity.

The problem asks for

\frac{1}{3}

of a

\frac{4}{5}

gallon batch, which requires multiplication.

The word 'of' in this context indicates multiplication to find a part of a total amount.

Multiply the two fractions.

\frac{4}{5} \times \frac{1}{3} = \frac{4 \times 1}{5 \times 3} = \frac{4}{15}

To multiply fractions, multiply the numerators together and the denominators together.

Anahtar Kavram

Fraction Multiplication in Context

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

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