How to convert 2.81582 as a fraction

Question: What is 2.81582 as a fraction?


Answer: 2.81582 as a fraction is 2385/847


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How to convert 2.81582 as a fraction?

Solution:2.81582 as a fraction is 2385/847

Step 1:

The first step to converting 2.81582 to a fraction is to re-write 2.81582 in the form p/q where p and q are both positive integers. To start with, 2.81582 can be written as simply 2.81582/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 2.81582, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 2.81582/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 2.81582/1 each by 100000:

281582/10 / 100000/10 = 281582 / 100000

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 2.81582 as a fraction:

2385/847 / 1

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