A damage control team reports that a leak has flooded 0.08 of a storage compartment's tota… — Armed Services Vocational Aptitude Battery (ASVAB)

A damage control team reports that a leak has flooded $0.08$ of a storage compartment's total volume. Which of the following fractions represents the portion of the compartment that is NOT flooded?

A
$\frac{4}{5}$
B
$\frac{2}{25}$
$\frac{23}{25}$ Answer
D
$\frac{1}{5}$

Answer

The fraction that represents the portion of the compartment that is not flooded is

\frac{23}{25}

The flooded portion is given as

0.08

. The portion that is not flooded is the total (

1.00

) minus the flooded portion, which is

0.92

. To convert the decimal

0.92

to a fraction, write it as

\frac{92}{100}

and simplify by dividing the numerator and denominator by

4

, resulting in

\frac{23}{25}

Step-by-Step Solution

Determine the decimal portion of the compartment that is not flooded.

1.00 - 0.08 = 0.92

The total volume is represented by

1.00

. The flooded portion must be subtracted to find the remaining unflooded volume.

Convert the resulting decimal into a fraction.

\frac{92}{100}

The decimal

0.92

represents ninety-two hundredths, which translates directly to a fraction with a denominator of

100

Simplify the fraction to its lowest terms.

\frac{23}{25}

Both

92

and

100

share a greatest common factor of

4

. Dividing the numerator and the denominator by

4

yields the simplified fraction.

Key Concept

Converting a decimal to a simplified fraction and finding the complement of a whole.

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