How to convert 112.778125 as a fraction

Question: What is 112.778125 as a fraction?


Answer: 112.778125 as a fraction is 35074/311


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How to convert 112.778125 as a fraction?

Solution:112.778125 as a fraction is 35074/311

Step 1:

The first step to converting 112.778125 to a fraction is to re-write 112.778125 in the form p/q where p and q are both positive integers. To start with, 112.778125 can be written as simply 112.778125/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 112.778125, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 112.778125/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 112.778125/1 each by 1000000:

112778125/10 / 1000000/10 = 112778125 / 1000000

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 112.778125 as a fraction:

35074/311 / 1

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