During a materials stress test, a structural beam successfully supported 125\% of its rate… — Armed Services Vocational Aptitude Battery (ASVAB)

During a materials stress test, a structural beam successfully supported $125\%$ of its rated maximum load before showing signs of fatigue. Which of the following fractions represents this percentage in its simplest form?

$\frac{5}{4}$ Answer
B
$\frac{4}{5}$
C
$\frac{1}{8}$
D
$\frac{1}{4}$

Answer

The correct fraction in simplest form is

\frac{5}{4}

To convert a percentage to a fraction, divide the percentage value by 100. This gives

\frac{125}{100}

. Simplifying this fraction by dividing both the numerator and denominator by their greatest common factor, 25, results in the improper fraction

\frac{5}{4}

Step-by-Step Solution

Convert the given percentage into a fraction by placing the value over 100.

\frac{125}{100}

A percentage inherently represents a part out of 100.

Find the greatest common factor (GCF) for the numerator and denominator to simplify the fraction.

The GCF of 125 and 100 is 25.

Fractions must be expressed in their simplest form to match the standard answer choices.

Divide both the numerator and the denominator by 25.

\frac{125 \div 25}{100 \div 25} = \frac{5}{4}

Dividing the top and bottom by the same number scales the fraction down while maintaining its equivalent value.

Key Concept

Converting Percentages Greater Than 100% to Improper Fractions

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Step-by-Step Solution

Key Concept

Common Mistakes

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