Convert Fraction to Percent

Convert Fraction to Percent

Converting a fraction to a percent involves expressing a fraction as an equivalent percentage or portion of 100. Here's how you can do it:

  • Step 1: Start with the fraction you want to convert.
  • Step 2: If the fraction is not already in its simplest form, simplify it by finding the greatest common divisor (GCD) of the numerator (top number) and the denominator (bottom number) and then dividing both the numerator and denominator by the GCD. This simplification ensures that you have the fraction in its simplest form.
  • Step 3: Once you have the fraction in its simplest form, multiply it by 100 to express it as a percentage.
      Percent = Fraction 100
  • Step 4: If you'd like to, you can further simplify the fraction as a decimal and then as a percentage. To do this, divide the numerator by the denominator and then multiply the result by 100 to get the percentage.
      Percent = (Numerator / Denominator) 100

Here's an example:

Let's say you have the fraction 3/4, and you want to convert it to a percentage:

  • It's already in a fairly simple form, but we can simplify further by finding the GCD of 3 and 4, which is 1. So, 3/4 is already in its simplest form.
  • To convert it to a percentage, multiply it by 100:
  • Percent = (3/4) 100 = 75%

So, 3/4 is equal to 75% when expressed as a percentage.

In summary, to convert a fraction to a percent, you simplify the fraction (if needed) and then multiply it by 100 to express it as a percentage.

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