How can 15 percent be expressed as a fraction in its simplest form?

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To express 15 percent as a fraction, you’ll start by remembering that percent means “per hundred.” Therefore, 15 percent can be translated into a fraction as follows:

  • Step 1: Write 15 percent as a fraction: 15% = 15/100.
  • Step 2: Simplify the fraction. This involves finding the greatest common divisor (GCD) of the numerator and the denominator. Here, the GCD of 15 and 100 is 5.
  • Step 3: Divide both the numerator and the denominator by their GCD: 15 ÷ 5 = 3 and 100 ÷ 5 = 20.
  • Final Result: After simplification, the fraction becomes 3/20.

So, 15 percent can be expressed as the fraction 3/20 in its simplest form.

This fraction is useful in various mathematical contexts, whether you are calculating discounts, dealing with proportions, or interpreting data. Remembering how to convert between percentages and fractions can enhance your understanding of quantitative relationships!

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