How to convert 74.545765879875 as a fraction

Question: What is 74.545765879875 as a fraction?


Answer: 74.545765879875 as a fraction is 21171/284


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How to convert 74.545765879875 as a fraction?

Solution:74.545765879875 as a fraction is 21171/284

Step 1:

The first step to converting 74.545765879875 to a fraction is to re-write 74.545765879875 in the form p/q where p and q are both positive integers. To start with, 74.545765879875 can be written as simply 74.545765879875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 74.545765879875, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 74.545765879875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 74.545765879875/1 each by 1000000000000:

74545765879875/10 / 1000000000000/10 = 74545765879875 / 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 74.545765879875 as a fraction:

21171/284 / 1

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