How to convert 119.71141316414 as a fraction

Question: What is 119.71141316414 as a fraction?


Answer: 119.71141316414 as a fraction is 17837/149


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How to convert 119.71141316414 as a fraction?

Solution:119.71141316414 as a fraction is 17837/149

Step 1:

The first step to converting 119.71141316414 to a fraction is to re-write 119.71141316414 in the form p/q where p and q are both positive integers. To start with, 119.71141316414 can be written as simply 119.71141316414/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 119.71141316414, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 119.71141316414/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 119.71141316414/1 each by 100000000000:

11971141316414/10 / 100000000000/10 = 11971141316414 / 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 119.71141316414 as a fraction:

17837/149 / 1

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