How to convert 10.744155201827 as a fraction

Question: What is 10.744155201827 as a fraction?


Answer: 10.744155201827 as a fraction is 7811/727


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How to convert 10.744155201827 as a fraction?

Solution:10.744155201827 as a fraction is 7811/727

Step 1:

The first step to converting 10.744155201827 to a fraction is to re-write 10.744155201827 in the form p/q where p and q are both positive integers. To start with, 10.744155201827 can be written as simply 10.744155201827/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 10.744155201827, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 10.744155201827/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 10.744155201827/1 each by 1000000000000:

10744155201827/10 / 1000000000000/10 = 10744155201827 / 1000000000000

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 10.744155201827 as a fraction:

7811/727 / 1

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