How to convert 856.3475076164 as a fraction

Question: What is 856.3475076164 as a fraction?


Answer: 856.3475076164 as a fraction is 19696/23


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How to convert 856.3475076164 as a fraction?

Solution:856.3475076164 as a fraction is 19696/23

Step 1:

The first step to converting 856.3475076164 to a fraction is to re-write 856.3475076164 in the form p/q where p and q are both positive integers. To start with, 856.3475076164 can be written as simply 856.3475076164/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 856.3475076164, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 856.3475076164/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 856.3475076164/1 each by 10000000000:

8563475076164/10 / 10000000000/10 = 8563475076164 / 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 856.3475076164 as a fraction:

19696/23 / 1

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