How to convert 53.535320499314 as a fraction

Question: What is 53.535320499314 as a fraction?


Answer: 53.535320499314 as a fraction is 5300/99


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How to convert 53.535320499314 as a fraction?

Solution:53.535320499314 as a fraction is 5300/99

Step 1:

The first step to converting 53.535320499314 to a fraction is to re-write 53.535320499314 in the form p/q where p and q are both positive integers. To start with, 53.535320499314 can be written as simply 53.535320499314/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 53.535320499314, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 53.535320499314/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 53.535320499314/1 each by 1000000000000:

53535320499314/10 / 1000000000000/10 = 53535320499314 / 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 53.535320499314 as a fraction:

5300/99 / 1

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