How do you convert 30 percent into its simplest fraction form?

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To convert 30 percent into a fraction, we start by understanding what the term ‘percent’ means. The word ‘percent’ comes from the Latin ‘per centum’, which means ‘by the hundred.’ Therefore, 30 percent can be expressed as:

30% = 30/100

Next, we simplify the fraction 30/100. To do this, we need to find the greatest common divisor (GCD) of the numerator (30) and the denominator (100). The GCD of 30 and 100 is 10.

Now, we divide both the numerator and the denominator by their GCD:

  • Numerator: 30 ÷ 10 = 3
  • Denominator: 100 ÷ 10 = 10

After simplifying, we get:

30% = 3/10

So, in its simplest form, 30 percent is represented as the fraction 3/10.

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