A topographic surveying team has mapped \frac{5}{8} of a designated training sector. What … — Armed Services Vocational Aptitude Battery (ASVAB)

A topographic surveying team has mapped $\frac{5}{8}$ of a designated training sector. What percentage of the training sector remains to be mapped?

Answer: 37.5 %

37.5

The correct answer is 37.5 because the remaining fraction of the sector is

\frac{3}{8}

. Since

\frac{1}{8}

equals

12.5\%

, multiplying by 3 gives

37.5\%

Calculate the fraction of the training sector that remains to be mapped.

1 - \frac{5}{8} = \frac{3}{8}

The entire sector represents 1 whole. Subtracting the mapped portion gives the remaining unmapped portion.

Recall the percentage equivalent of the base fraction

\frac{1}{8}

\frac{1}{8} = 12.5\%

Memorizing common fractional equivalents like eighths, thirds, and fourths is essential for solving ASVAB problems quickly without a calculator.

Calculate the percentage equivalent for

\frac{3}{8}

3 \times 12.5\% = 37.5\%

Since

\frac{3}{8}

is three times the base fraction

\frac{1}{8}

, multiply the corresponding percentage by 3.

Converting common fractions to percentages and solving part-to-whole word problems.

Estimated Time:1m 0s

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