How to convert 33.771875 as a fraction

Question: What is 33.771875 as a fraction?


Answer: 33.771875 as a fraction is 10807/320


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How to convert 33.771875 as a fraction?

Solution:33.771875 as a fraction is 10807/320

Step 1:

The first step to converting 33.771875 to a fraction is to re-write 33.771875 in the form p/q where p and q are both positive integers. To start with, 33.771875 can be written as simply 33.771875/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 33.771875, which in this case is 6. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 33.771875/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 33.771875/1 each by 1000000:

33771875/10 / 1000000/10 = 33771875 / 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 33.771875 as a fraction:

10807/320 / 1

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