How to convert 1165.742245541 as a fraction

Question: What is 1165.742245541 as a fraction?


Answer: 1165.742245541 as a fraction is 36138/31


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How to convert 1165.742245541 as a fraction?

Solution:1165.742245541 as a fraction is 36138/31

Step 1:

The first step to converting 1165.742245541 to a fraction is to re-write 1165.742245541 in the form p/q where p and q are both positive integers. To start with, 1165.742245541 can be written as simply 1165.742245541/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1165.742245541, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1165.742245541/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1165.742245541/1 each by 1000000000:

1165742245541/10 / 1000000000/10 = 1165742245541 / 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 1165.742245541 as a fraction:

36138/31 / 1

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