How to convert 110.9415 as a fraction

Question: What is 110.9415 as a fraction?


Answer: 110.9415 as a fraction is 18971/171


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How to convert 110.9415 as a fraction?

Solution:110.9415 as a fraction is 18971/171

Step 1:

The first step to converting 110.9415 to a fraction is to re-write 110.9415 in the form p/q where p and q are both positive integers. To start with, 110.9415 can be written as simply 110.9415/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 110.9415, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 110.9415/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 110.9415/1 each by 10000:

1109415/10 / 10000/10 = 1109415 / 10000

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 110.9415 as a fraction:

18971/171 / 1

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