How to convert 746.52142857164 as a fraction

Question: What is 746.52142857164 as a fraction?


Answer: 746.52142857164 as a fraction is 17170/23


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How to convert 746.52142857164 as a fraction?

Solution:746.52142857164 as a fraction is 17170/23

Step 1:

The first step to converting 746.52142857164 to a fraction is to re-write 746.52142857164 in the form p/q where p and q are both positive integers. To start with, 746.52142857164 can be written as simply 746.52142857164/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 746.52142857164, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 746.52142857164/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 746.52142857164/1 each by 100000000000:

74652142857164/10 / 100000000000/10 = 74652142857164 / 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 746.52142857164 as a fraction:

17170/23 / 1

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