How to convert 57.2825 as a fraction

Question: What is 57.2825 as a fraction?


Answer: 57.2825 as a fraction is 10139/177


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How to convert 57.2825 as a fraction?

Solution:57.2825 as a fraction is 10139/177

Step 1:

The first step to converting 57.2825 to a fraction is to re-write 57.2825 in the form p/q where p and q are both positive integers. To start with, 57.2825 can be written as simply 57.2825/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 57.2825, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 57.2825/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 57.2825/1 each by 10000:

572825/10 / 10000/10 = 572825 / 10000

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 57.2825 as a fraction:

10139/177 / 1

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