How to convert 2986.458 as a fraction

Question: What is 2986.458 as a fraction?


Answer: 2986.458 as a fraction is 71675/24


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How to convert 2986.458 as a fraction?

Solution:2986.458 as a fraction is 71675/24

Step 1:

The first step to converting 2986.458 to a fraction is to re-write 2986.458 in the form p/q where p and q are both positive integers. To start with, 2986.458 can be written as simply 2986.458/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2986.458, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2986.458/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2986.458/1 each by 1000:

2986458/10 / 1000/10 = 2986458 / 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 2986.458 as a fraction:

71675/24 / 1

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