How to convert 745.18142857166 as a fraction

Question: What is 745.18142857166 as a fraction?


Answer: 745.18142857166 as a fraction is 8197/11


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How to convert 745.18142857166 as a fraction?

Solution:745.18142857166 as a fraction is 8197/11

Step 1:

The first step to converting 745.18142857166 to a fraction is to re-write 745.18142857166 in the form p/q where p and q are both positive integers. To start with, 745.18142857166 can be written as simply 745.18142857166/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 745.18142857166, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 745.18142857166/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 745.18142857166/1 each by 100000000000:

74518142857166/10 / 100000000000/10 = 74518142857166 / 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 745.18142857166 as a fraction:

8197/11 / 1

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