How to convert 236.7878125 as a fraction

Question: What is 236.7878125 as a fraction?


Answer: 236.7878125 as a fraction is 7814/33


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How to convert 236.7878125 as a fraction?

Solution:236.7878125 as a fraction is 7814/33

Step 1:

The first step to converting 236.7878125 to a fraction is to re-write 236.7878125 in the form p/q where p and q are both positive integers. To start with, 236.7878125 can be written as simply 236.7878125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 236.7878125, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 236.7878125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 236.7878125/1 each by 10000000:

2367878125/10 / 10000000/10 = 2367878125 / 10000000

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 236.7878125 as a fraction:

7814/33 / 1

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