Convert Fraction 125/1000 to Percentage: Step-by-Step Solution

Question

Write the fraction 1251000 \frac{125}{1000} 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
00:22 Break down 1000 into factors of 100 and 10
00:27 Simplify wherever possible
00:36 This is the solution

Step-by-Step Solution

To convert the fraction 1251000\frac{125}{1000} into a percentage, we'll follow these steps:

  • Step 1: Identify the given fraction, which is 1251000\frac{125}{1000}.
  • Step 2: Use the conversion formula to convert the fraction to a percentage by multiplying by 100.
  • Step 3: Perform the calculation.

Let's go through the calculation:
Step 1: We have the fraction 1251000\frac{125}{1000}.
Step 2: To convert this to a percentage, we multiply by 100:
(1251000)×100=125×1001000 \left(\frac{125}{1000}\right) \times 100 = \frac{125 \times 100}{1000}
Step 3: Simplify the expression:
First, calculate 125×100=12500125 \times 100 = 12500.
Then divide by 1000: 125001000=12.5\frac{12500}{1000} = 12.5.
Thus, 1251000\frac{125}{1000} as a percentage is 12.5%12.5\%.

Therefore, the fraction 1251000\frac{125}{1000} is equivalent to 12.5%.

Answer

12.5%