How to convert 7.142726685538 as a fraction

Question: What is 7.142726685538 as a fraction?


Answer: 7.142726685538 as a fraction is 7807/1093


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How to convert 7.142726685538 as a fraction?

Solution:7.142726685538 as a fraction is 7807/1093

Step 1:

The first step to converting 7.142726685538 to a fraction is to re-write 7.142726685538 in the form p/q where p and q are both positive integers. To start with, 7.142726685538 can be written as simply 7.142726685538/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 7.142726685538, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.142726685538/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 7.142726685538/1 each by 1000000000000:

7142726685538/10 / 1000000000000/10 = 7142726685538 / 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 7.142726685538 as a fraction:

7807/1093 / 1

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