Convert Fraction 167/1000 to Percentage: Step-by-Step Solution

Question

Write the fraction 1671000 \frac{167}{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
00:20 Break down 1000 into factors of 100 and 10
00:25 Reduce wherever possible
00:35 This is the solution

Step-by-Step Solution

To convert the fraction 1671000\frac{167}{1000} to a percentage, we follow these steps:

  • Step 1: Recall the conversion method from fraction to percentage.

  • Step 2: Multiply 1671000\frac{167}{1000} by 100 to perform the conversion.

Now let's perform the calculations:

First, we multiply the fraction by 100:
1671000×100=167×1001000\frac{167}{1000} \times 100 = \frac{167 \times 100}{1000}

Simplify the expression by multiplying and then dividing:
167×1001000=167001000\frac{167 \times 100}{1000} = \frac{16700}{1000}

Divide 16700 by 1000 to simplify:
16700÷1000=16.716700 \div 1000 = 16.7

Thus, the percentage equivalent of 1671000\frac{167}{1000} is 16.7% 16.7\% .

Therefore, the solution to the problem is 16.7% 16.7\% .

Answer

16.7%