How to convert 11741.295 as a fraction

Question: What is 11741.295 as a fraction?


Answer: 11741.295 as a fraction is 82189/7


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How to convert 11741.295 as a fraction?

Solution:11741.295 as a fraction is 82189/7

Step 1:

The first step to converting 11741.295 to a fraction is to re-write 11741.295 in the form p/q where p and q are both positive integers. To start with, 11741.295 can be written as simply 11741.295/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 11741.295, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11741.295/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11741.295/1 each by 1000:

11741295/10 / 1000/10 = 11741295 / 1000

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 11741.295 as a fraction:

82189/7 / 1

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