How to convert 242.82813687545 as a fraction

Question: What is 242.82813687545 as a fraction?


Answer: 242.82813687545 as a fraction is 15541/64


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How to convert 242.82813687545 as a fraction?

Solution:242.82813687545 as a fraction is 15541/64

Step 1:

The first step to converting 242.82813687545 to a fraction is to re-write 242.82813687545 in the form p/q where p and q are both positive integers. To start with, 242.82813687545 can be written as simply 242.82813687545/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 242.82813687545, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 242.82813687545/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 242.82813687545/1 each by 100000000000:

24282813687545/10 / 100000000000/10 = 24282813687545 / 100000000000

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 242.82813687545 as a fraction:

15541/64 / 1

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