Converting 90% to Its Decimal and Fractional Equivalents

Question

The percentage 90% is equal to:

Video Solution

Solution Steps

00:00 Convert from percentages to fractions
00:05 The percentage equals a fraction where the numerator is the percentage (X) and the denominator is 100
00:10 Apply this formula to our exercise
00:25 Factor 90 into 9 and 10, and 100 into 10 and 10
00:30 Reduce wherever possible
00:35 This is the solution

Step-by-Step Solution

The solution involves converting 90% to a fraction:

  • Step 1: Write 90% as a fraction over 100: 90100 \frac{90}{100} .
  • Step 2: Simplify the fraction 90100 \frac{90}{100} :
    • Find the greatest common divisor (GCD) of 90 and 100. The GCD is 10.
    • Divide both the numerator and the denominator by the GCD (10):
    • Numerator: 9010=9 \frac{90}{10} = 9
    • Denominator: 10010=10 \frac{100}{10} = 10
    • The simplified fraction is 910 \frac{9}{10} .

Therefore, the percentage 90% is equal to the fraction 910 \frac{9}{10} .

Answer

910 \frac{9}{10}