How to convert 32.778124999998 as a fraction

Question: What is 32.778124999998 as a fraction?


Answer: 32.778124999998 as a fraction is 10489/320


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How to convert 32.778124999998 as a fraction?

Solution:32.778124999998 as a fraction is 10489/320

Step 1:

The first step to converting 32.778124999998 to a fraction is to re-write 32.778124999998 in the form p/q where p and q are both positive integers. To start with, 32.778124999998 can be written as simply 32.778124999998/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 32.778124999998, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 32.778124999998/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 32.778124999998/1 each by 1000000000000:

32778124999998/10 / 1000000000000/10 = 32778124999998 / 1000000000000

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 32.778124999998 as a fraction:

10489/320 / 1

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