How to convert 167.42146 as a fraction

Question: What is 167.42146 as a fraction?


Answer: 167.42146 as a fraction is 20258/121


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How to convert 167.42146 as a fraction?

Solution:167.42146 as a fraction is 20258/121

Step 1:

The first step to converting 167.42146 to a fraction is to re-write 167.42146 in the form p/q where p and q are both positive integers. To start with, 167.42146 can be written as simply 167.42146/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 167.42146, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 167.42146/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 167.42146/1 each by 100000:

16742146/10 / 100000/10 = 16742146 / 100000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 167.42146 as a fraction:

20258/121 / 1

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