Convert Fraction to Percentage: Finding the Percentage Value of 2/8

Question

Write the fraction 28 \frac{2}{8} 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 Factor 8 into 2 and 4
00:24 Simplify wherever possible
00:29 Factor 100 into 25 and 4
00:32 Simplify wherever possible
00:37 This is the solution

Step-by-Step Solution

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

  • Step 1: Simplify the fraction 28\frac{2}{8} if necessary.

  • Step 2: Convert the simplified fraction to a percentage by multiplying by 100.

Now, let's work through each step:
Step 1: Simplify the fraction 28\frac{2}{8}. The greatest common divisor of 2 and 8 is 2. So, we divide the numerator and the denominator by 2:
28=2÷28÷2=14 \frac{2}{8} = \frac{2 \div 2}{8 \div 2} = \frac{1}{4}
Step 2: To convert the fraction 14\frac{1}{4} to a percentage, multiply it by 100:
14×100=25 \frac{1}{4} \times 100 = 25
Therefore, the fraction 28\frac{2}{8} is equivalent to 25% 25\% .

The correct answer is 25%\boxed{25\%}.

Answer

25%