Convert Fraction to Percentage: Solving 3.75/10

Convert the fraction to a percentage:

3.7510=? \frac{3.75}{10}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert the fraction into a percentage
00:05 A fraction with a denominator equal to 100 is equal to the numerator in percentage form (X)
00:10 We will use this formula in our exercise
00:25 Multiply the numerator and denominator by 10 in order to obtain a denominator equal to 100
00:35 Proceed to calculate
00:45 Here is the solution

Step-by-step written solution

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1

Understand the problem

Convert the fraction to a percentage:

3.7510=? \frac{3.75}{10}=\text{?}

2

Step-by-step solution

To convert the fraction 3.7510\frac{3.75}{10} into a percentage, we follow these steps:

  • Step 1: Divide the numerator by the denominator.
    We calculate 3.75÷10=0.3753.75 \div 10 = 0.375.
  • Step 2: Convert the resulting decimal to a percentage.
    Multiply by 100: 0.375×100=37.50.375 \times 100 = 37.5.
  • Step 3: Append the percentage symbol: 37.5%37.5\%.

Therefore, the fraction 3.7510\frac{3.75}{10} converts to 37.5%.

3

Final Answer

37.5%

Practice Quiz

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Convert the fraction into a percentage:

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

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