How to convert 8.73871 as a fraction

Question: What is 8.73871 as a fraction?


Answer: 8.73871 as a fraction is 2709/310


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How to convert 8.73871 as a fraction?

Solution:8.73871 as a fraction is 2709/310

Step 1:

The first step to converting 8.73871 to a fraction is to re-write 8.73871 in the form p/q where p and q are both positive integers. To start with, 8.73871 can be written as simply 8.73871/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 8.73871, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 8.73871/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 8.73871/1 each by 100000:

873871/10 / 100000/10 = 873871 / 100000

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 8.73871 as a fraction:

2709/310 / 1

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