Converting 90% to Its Decimal and Fractional Equivalents

The percentage 90% is equal to:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

The percentage 90% is equal to:

2

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} .

3

Final Answer

910 \frac{9}{10}

Practice Quiz

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Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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