Convert Fraction to Percentage: Solving 5/20 Step by Step

Convert the fraction into a percentage:

520=? \frac{5}{20}=\text{?}

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Step-by-step video solution

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00:00 Convert fractions to percentages
00:05 A fraction with a denominator equal to 100 equals the numerator in percentage form (X)
00:12 Determine which number to multiply the fraction by
00:22 Multiply both the numerator and denominator by 5 to obtain the denominator 100
00:35 Apply this formula to our exercise
00:40 This is the solution

Step-by-step written solution

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1

Understand the problem

Convert the fraction into a percentage:

520=? \frac{5}{20}=\text{?}

2

Step-by-step solution

To solve the problem of converting the fraction 520 \frac{5}{20} into a percentage, follow these steps:

  • Step 1: Simplify the Fraction (if necessary).
    For 520 \frac{5}{20} , we can simplify by dividing both the numerator and the denominator by their greatest common divisor, which is 5.
    This simplifies to 14 \frac{1}{4} .

  • Step 2: Convert the Fraction to a Decimal.
    Divide the numerator of the simplified fraction by its denominator: 14=0.25 \frac{1}{4} = 0.25 .

  • Step 3: Convert the Decimal to a Percentage.
    Multiply the decimal by 100 to change it to a percentage: 0.25×100=25 0.25 \times 100 = 25 .

Therefore, the fraction 520 \frac{5}{20} , when converted to a percentage, is 25% 25\% .

3

Final Answer

25%

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

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

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