How to convert 1486.959 as a fraction

Question: What is 1486.959 as a fraction?


Answer: 1486.959 as a fraction is 35687/24


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How to convert 1486.959 as a fraction?

Solution:1486.959 as a fraction is 35687/24

Step 1:

The first step to converting 1486.959 to a fraction is to re-write 1486.959 in the form p/q where p and q are both positive integers. To start with, 1486.959 can be written as simply 1486.959/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1486.959, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1486.959/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1486.959/1 each by 1000:

1486959/10 / 1000/10 = 1486959 / 1000

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 1486.959 as a fraction:

35687/24 / 1

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