Convert Fraction to Percentage: Solving 7/25 Step-by-Step

Question

Write the fraction 725 \frac{7}{25} as a percentage

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:05 Multiply the fraction by 100 in order to convert to a percentage
00:19 Break down 100 into factors of 25 and 4
00:29 Simplify wherever possible
00:35 This is the solution

Step-by-Step Solution

To convert the fraction 725\frac{7}{25} into a percentage, follow these steps:

  • Step 1: Multiply the numerator by 100 to convert from fraction to percentage terms. Therefore, calculate 7×100=7007 \times 100 = 700.
  • Step 2: Divide the result by the denominator of the fraction. Thus, divide 700700 by 2525: 70025\frac{700}{25}.
  • Step 3: Perform the division to find the percentage: 70025=28\frac{700}{25} = 28.

Thus, 725 \frac{7}{25} as a percentage is 28%.

Therefore, the correct answer is 28% 28\% .

Answer

28%