Converting 20/50 to a Percentage: A Step-by-Step Guide

Convert the fraction into a percentage:

2050=? \frac{20}{50}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert fractions to percentages
00:05 We need a fraction with a denominator of 100, in order to convert to a percentage
00:10 Therefore we multiply both the numerator and denominator by 2
00:17 A fraction with a denominator equal to 100 equals the numerator in percentages (X)
00:21 Apply this formula to our exercise
00:26 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert the fraction into a percentage:

2050=? \frac{20}{50}=\text{?}

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Simplify the fraction 2050\frac{20}{50}.
  • Step 2: Convert the simplified fraction into a percentage by multiplying it by 100.

Now, let's work through each step:

Step 1: Simplify the fraction 2050\frac{20}{50}:
Divide both the numerator and the denominator by their greatest common divisor, which is 10:

20÷1050÷10=25\frac{20 \div 10}{50 \div 10} = \frac{2}{5}.

Step 2: Convert the simplified fraction to a percentage:
We multiply 25\frac{2}{5} by 100 to convert it to a percentage:

25×100%=40%\frac{2}{5} \times 100\% = 40\%.

Therefore, the fraction 2050\frac{20}{50} as a percentage is 40\%.

3

Final Answer

40%

Practice Quiz

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Convert the fraction into a percentage:

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

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