How to convert 40.3143780375 as a fraction

Question: What is 40.3143780375 as a fraction?


Answer: 40.3143780375 as a fraction is 12054/299


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How to convert 40.3143780375 as a fraction?

Solution:40.3143780375 as a fraction is 12054/299

Step 1:

The first step to converting 40.3143780375 to a fraction is to re-write 40.3143780375 in the form p/q where p and q are both positive integers. To start with, 40.3143780375 can be written as simply 40.3143780375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 40.3143780375, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 40.3143780375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 40.3143780375/1 each by 10000000000:

403143780375/10 / 10000000000/10 = 403143780375 / 10000000000

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 40.3143780375 as a fraction:

12054/299 / 1

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