How to convert 103.14292969753 as a fraction

Question: What is 103.14292969753 as a fraction?


Answer: 103.14292969753 as a fraction is 722/7


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How to convert 103.14292969753 as a fraction?

Solution:103.14292969753 as a fraction is 722/7

Step 1:

The first step to converting 103.14292969753 to a fraction is to re-write 103.14292969753 in the form p/q where p and q are both positive integers. To start with, 103.14292969753 can be written as simply 103.14292969753/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 103.14292969753, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 103.14292969753/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 103.14292969753/1 each by 100000000000:

10314292969753/10 / 100000000000/10 = 10314292969753 / 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 103.14292969753 as a fraction:

722/7 / 1

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