Convert the Fraction 20/40 to a Percentage

Convert the following fraction into a percentage:

2040=? \frac{20}{40}=\text{?}

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Step-by-step video solution

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00:00 Convert fractions to percentages
00:05 Apply the formula to convert fractions to percentages
00:15 We want the denominator to equal 100
00:27 Divide the desired denominator by our current denominator in order to determine the ratio
00:31 The ratio is the number we multiply both the numerator and denominator by
00:39 This is the final fraction and its corresponding percentage
00:46 This is the solution

Step-by-step written solution

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1

Understand the problem

Convert the following fraction into a percentage:

2040=? \frac{20}{40}=\text{?}

2

Step-by-step solution

To convert the fraction 2040\frac{20}{40} into a percentage, we'll follow these steps:

  • Step 1: Simplify the fraction 2040\frac{20}{40}.
  • Step 2: Convert the simplified fraction into a percentage.

Step 1: Simplifying the fraction 2040\frac{20}{40}, we divide both the numerator and the denominator by their greatest common divisor, which is 20:

20÷2040÷20=12\frac{20 \div 20}{40 \div 20} = \frac{1}{2}

Step 2: To convert 12\frac{1}{2} into a percentage, we multiply by 100:

12×100=50%\frac{1}{2} \times 100 = 50\%

Therefore, the fraction 2040\frac{20}{40} is equivalent to 50%.

3

Final Answer

50%

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Calculate 30 over 100 as a percentage:

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