How to convert 118.29181920167 as a fraction

Question: What is 118.29181920167 as a fraction?


Answer: 118.29181920167 as a fraction is 30401/257


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How to convert 118.29181920167 as a fraction?

Solution:118.29181920167 as a fraction is 30401/257

Step 1:

The first step to converting 118.29181920167 to a fraction is to re-write 118.29181920167 in the form p/q where p and q are both positive integers. To start with, 118.29181920167 can be written as simply 118.29181920167/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 118.29181920167, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 118.29181920167/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 118.29181920167/1 each by 100000000000:

11829181920167/10 / 100000000000/10 = 11829181920167 / 100000000000

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 118.29181920167 as a fraction:

30401/257 / 1

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