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8% is equivalent to what fraction in reduced terms?

8% is equivalent to what fraction in reduced terms?-example-1
User Eugene To
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1 Answer

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Final answer:

8% is equivalent to the fraction 2/25 when reduced to its simplest form. To reduce the fraction, divide both the numerator (8) and the denominator (100) by their greatest common divisor, which is 4.

Step-by-step explanation:

To convert the percentage 8% to a fraction, we can follow these steps:

  1. Write 8% as 8/100 since percent means 'per 100'.
  2. Reduce the fraction by finding the greatest common divisor (GCD) of both the numerator (8) and the denominator (100). The GCD of 8 and 100 is 4.
  3. Divide both the numerator and the denominator by the GCD. This gives us (8 ÷ 4)/(100 ÷ 4) = 2/25.

Therefore, the fraction in reduced terms for 8% is 2/25.

User Tlogbon
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