How to convert 856.34768292381 as a fraction

Question: What is 856.34768292381 as a fraction?


Answer: 856.34768292381 as a fraction is 19696/23


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How to convert 856.34768292381 as a fraction?

Solution:856.34768292381 as a fraction is 19696/23

Step 1:

The first step to converting 856.34768292381 to a fraction is to re-write 856.34768292381 in the form p/q where p and q are both positive integers. To start with, 856.34768292381 can be written as simply 856.34768292381/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 856.34768292381, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 856.34768292381/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 856.34768292381/1 each by 100000000000:

85634768292381/10 / 100000000000/10 = 85634768292381 / 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 856.34768292381 as a fraction:

19696/23 / 1

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