Convert the Fraction 25/40 to a Percentage: Simple Math Task

Convert the fraction into a percentage:

2540=? \frac{25}{40}=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's learn how to convert fractions into percentages.
00:11 If a fraction's bottom number is one hundred, the top number is the percentage.
00:19 Figure out what to multiply the bottom number by, so it becomes one hundred.
00:31 Multiply both numbers in the fraction by two point five to get one hundred on the bottom.
00:47 Now, let's try using this method in our example.
00:54 Great job! That's how you find the solution.

Step-by-step written solution

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1

Understand the problem

Convert the fraction into a percentage:

2540=? \frac{25}{40}=\text{?}

2

Step-by-step solution

To solve this problem, let's convert the fraction 2540\frac{25}{40} into a percentage, using the following steps:

  • Simplify the fraction 2540\frac{25}{40}. The greatest common divisor of 25 and 40 is 5, so dividing both by 5 gives us: 25÷540÷5=58\frac{25 \div 5}{40 \div 5} = \frac{5}{8}.
  • Use the conversion formula: 58×100=5008\frac{5}{8} \times 100 = \frac{500}{8}.
  • Perform the division: 5008=62.5\frac{500}{8} = 62.5.

Therefore, the fraction 2540\frac{25}{40} is equivalent to 62.5%.

The correct answer is choice : 62.5%, aligning with the given correct answer.

3

Final Answer

62.5%

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

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

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