How to convert 281.5725 as a fraction

Question: What is 281.5725 as a fraction?


Answer: 281.5725 as a fraction is 36886/131


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How to convert 281.5725 as a fraction?

Solution:281.5725 as a fraction is 36886/131

Step 1:

The first step to converting 281.5725 to a fraction is to re-write 281.5725 in the form p/q where p and q are both positive integers. To start with, 281.5725 can be written as simply 281.5725/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 281.5725, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 281.5725/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 281.5725/1 each by 10000:

2815725/10 / 10000/10 = 2815725 / 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 281.5725 as a fraction:

36886/131 / 1

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