How to convert 426.7828078125 as a fraction

Question: What is 426.7828078125 as a fraction?


Answer: 426.7828078125 as a fraction is 9816/23


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How to convert 426.7828078125 as a fraction?

Solution:426.7828078125 as a fraction is 9816/23

Step 1:

The first step to converting 426.7828078125 to a fraction is to re-write 426.7828078125 in the form p/q where p and q are both positive integers. To start with, 426.7828078125 can be written as simply 426.7828078125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 426.7828078125, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 426.7828078125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 426.7828078125/1 each by 10000000000:

4267828078125/10 / 10000000000/10 = 4267828078125 / 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 426.7828078125 as a fraction:

9816/23 / 1

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