How to convert 1200.313742813 as a fraction

Question: What is 1200.313742813 as a fraction?


Answer: 1200.313742813 as a fraction is 42011/35


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How to convert 1200.313742813 as a fraction?

Solution:1200.313742813 as a fraction is 42011/35

Step 1:

The first step to converting 1200.313742813 to a fraction is to re-write 1200.313742813 in the form p/q where p and q are both positive integers. To start with, 1200.313742813 can be written as simply 1200.313742813/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1200.313742813, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1200.313742813/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1200.313742813/1 each by 1000000000:

1200313742813/10 / 1000000000/10 = 1200313742813 / 1000000000

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 1200.313742813 as a fraction:

42011/35 / 1

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