How to convert 74.978166969845 as a fraction

Question: What is 74.978166969845 as a fraction?


Answer: 74.978166969845 as a fraction is 17170/229


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How to convert 74.978166969845 as a fraction?

Solution:74.978166969845 as a fraction is 17170/229

Step 1:

The first step to converting 74.978166969845 to a fraction is to re-write 74.978166969845 in the form p/q where p and q are both positive integers. To start with, 74.978166969845 can be written as simply 74.978166969845/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 74.978166969845, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 74.978166969845/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 74.978166969845/1 each by 1000000000000:

74978166969845/10 / 1000000000000/10 = 74978166969845 / 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 74.978166969845 as a fraction:

17170/229 / 1

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