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

Question

Convert the fraction into a percentage:

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

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:05 A fraction with denominator equal to 100 equals the numerator in percentage form (X)
00:13 Determine what to multiply the denominator by in order to obtain a denominator equal to 100
00:25 Multiply both the numerator and denominator by 2.5 to obtain a denominator equal to 100
00:41 Apply this formula to our exercise
00:48 This is the solution

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.

Answer

62.5%