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Difficulty: MediumConverting Between Fractions, Decimals, and Percents

A military mess hall allocates 340\frac{3}{40} of its weekly grocery budget to purchase fresh vegetables. What percentage of the weekly grocery budget is spent on fresh vegetables?

  1. 7.5%Answer
  2. B
    75%
  3. C
    0.075%
  4. D
    13.3%

Answer

7.5%
To convert a fraction to a percentage, divide the numerator by the denominator to find the decimal equivalent, and then multiply by 100. Calculating 3÷403 \div 40 gives 0.0750.075, and multiplying by 100 yields 7.5%7.5\%.

Step-by-Step Solution

1
Convert the fraction 340\frac{3}{40} into a decimal.
3÷40=0.0753 \div 40 = 0.075
To find a percentage, the fraction must first be expressed as a decimal value.
2
Convert the resulting decimal to a percentage.
0.075×100=7.5%0.075 \times 100 = 7.5\%
A decimal is converted to a percentage by multiplying by 100, which shifts the decimal point two places to the right.

Key Concept

Converting Fractions to Percentages
Estimated Time:1m 0s
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Topics

Converting Between Fractions, Decimals, and Percents

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