How to convert 265.8219678159 as a fraction

Question: What is 265.8219678159 as a fraction?


Answer: 265.8219678159 as a fraction is 11962/45


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How to convert 265.8219678159 as a fraction?

Solution:265.8219678159 as a fraction is 11962/45

Step 1:

The first step to converting 265.8219678159 to a fraction is to re-write 265.8219678159 in the form p/q where p and q are both positive integers. To start with, 265.8219678159 can be written as simply 265.8219678159/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 265.8219678159, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 265.8219678159/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 265.8219678159/1 each by 10000000000:

2658219678159/10 / 10000000000/10 = 2658219678159 / 10000000000

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 265.8219678159 as a fraction:

11962/45 / 1

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