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Difficulty: MediumConverting Between Fractions, Decimals, and Percents

A naval architect is reviewing the weight distribution of a new patrol boat. The design specifies that the aft storage compartment can safely hold a maximum of 740\frac{7}{40} of the vessel's total displacement. What percentage of the total displacement does this represent?

Answer: 17.5 %

Answer

17.5
To find the percentage equivalent of a fraction, divide the top number (numerator) by the bottom number (denominator) to get a decimal. Dividing 7 by 40 results in 0.175. Next, multiply this decimal by 100 to convert it into a percentage, which yields 17.5%.

Step-by-Step Solution

1
Divide the numerator by the denominator.
7÷40=0.1757 \div 40 = 0.175
A fraction represents division. Performing this division converts the fraction into a decimal.
2
Multiply the decimal by 100.
0.175×100=17.50.175 \times 100 = 17.5
To convert any decimal representation to a percentage, it must be multiplied by 100.

Key Concept

Converting a fraction to a percentage
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Topics

Converting Between Fractions, Decimals, and Percents

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