How to convert 4.0724289875 as a fraction

Question: What is 4.0724289875 as a fraction?


Answer: 4.0724289875 as a fraction is 1743/428


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How to convert 4.0724289875 as a fraction?

Solution:4.0724289875 as a fraction is 1743/428

Step 1:

The first step to converting 4.0724289875 to a fraction is to re-write 4.0724289875 in the form p/q where p and q are both positive integers. To start with, 4.0724289875 can be written as simply 4.0724289875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 4.0724289875, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 4.0724289875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 4.0724289875/1 each by 10000000000:

40724289875/10 / 10000000000/10 = 40724289875 / 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 4.0724289875 as a fraction:

1743/428 / 1

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