How to convert 288.7743925514 as a fraction

Question: What is 288.7743925514 as a fraction?


Answer: 288.7743925514 as a fraction is 8952/31


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How to convert 288.7743925514 as a fraction?

Solution:288.7743925514 as a fraction is 8952/31

Step 1:

The first step to converting 288.7743925514 to a fraction is to re-write 288.7743925514 in the form p/q where p and q are both positive integers. To start with, 288.7743925514 can be written as simply 288.7743925514/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 288.7743925514, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 288.7743925514/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 288.7743925514/1 each by 10000000000:

2887743925514/10 / 10000000000/10 = 2887743925514 / 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 288.7743925514 as a fraction:

8952/31 / 1

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