How to convert 40.3155625 as a fraction

Question: What is 40.3155625 as a fraction?


Answer: 40.3155625 as a fraction is 9071/225


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How to convert 40.3155625 as a fraction?

Solution:40.3155625 as a fraction is 9071/225

Step 1:

The first step to converting 40.3155625 to a fraction is to re-write 40.3155625 in the form p/q where p and q are both positive integers. To start with, 40.3155625 can be written as simply 40.3155625/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 40.3155625, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 40.3155625/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 40.3155625/1 each by 10000000:

403155625/10 / 10000000/10 = 403155625 / 10000000

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 40.3155625 as a fraction:

9071/225 / 1

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