How to convert 315.59738474943 as a fraction

Question: What is 315.59738474943 as a fraction?


Answer: 315.59738474943 as a fraction is 22723/72


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How to convert 315.59738474943 as a fraction?

Solution:315.59738474943 as a fraction is 22723/72

Step 1:

The first step to converting 315.59738474943 to a fraction is to re-write 315.59738474943 in the form p/q where p and q are both positive integers. To start with, 315.59738474943 can be written as simply 315.59738474943/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 315.59738474943, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 315.59738474943/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 315.59738474943/1 each by 100000000000:

31559738474943/10 / 100000000000/10 = 31559738474943 / 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 315.59738474943 as a fraction:

22723/72 / 1

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