How to convert 56.283485541875 as a fraction

Question: What is 56.283485541875 as a fraction?


Answer: 56.283485541875 as a fraction is 7148/127


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How to convert 56.283485541875 as a fraction?

Solution:56.283485541875 as a fraction is 7148/127

Step 1:

The first step to converting 56.283485541875 to a fraction is to re-write 56.283485541875 in the form p/q where p and q are both positive integers. To start with, 56.283485541875 can be written as simply 56.283485541875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 56.283485541875, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 56.283485541875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 56.283485541875/1 each by 1000000000000:

56283485541875/10 / 1000000000000/10 = 56283485541875 / 1000000000000

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 56.283485541875 as a fraction:

7148/127 / 1

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