How to convert 313.40418323942 as a fraction

Question: What is 313.40418323942 as a fraction?


Answer: 313.40418323942 as a fraction is 14730/47


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How to convert 313.40418323942 as a fraction?

Solution:313.40418323942 as a fraction is 14730/47

Step 1:

The first step to converting 313.40418323942 to a fraction is to re-write 313.40418323942 in the form p/q where p and q are both positive integers. To start with, 313.40418323942 can be written as simply 313.40418323942/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 313.40418323942, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 313.40418323942/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 313.40418323942/1 each by 100000000000:

31340418323942/10 / 100000000000/10 = 31340418323942 / 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 313.40418323942 as a fraction:

14730/47 / 1

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