How to convert 1005.9742187397 as a fraction

Question: What is 1005.9742187397 as a fraction?


Answer: 1005.9742187397 as a fraction is 38227/38


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How to convert 1005.9742187397 as a fraction?

Solution:1005.9742187397 as a fraction is 38227/38

Step 1:

The first step to converting 1005.9742187397 to a fraction is to re-write 1005.9742187397 in the form p/q where p and q are both positive integers. To start with, 1005.9742187397 can be written as simply 1005.9742187397/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1005.9742187397, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1005.9742187397/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1005.9742187397/1 each by 10000000000:

10059742187397/10 / 10000000000/10 = 10059742187397 / 10000000000

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 1005.9742187397 as a fraction:

38227/38 / 1

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