How to convert 1587.355 as a fraction

Question: What is 1587.355 as a fraction?


Answer: 1587.355 as a fraction is 49208/31


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How to convert 1587.355 as a fraction?

Solution:1587.355 as a fraction is 49208/31

Step 1:

The first step to converting 1587.355 to a fraction is to re-write 1587.355 in the form p/q where p and q are both positive integers. To start with, 1587.355 can be written as simply 1587.355/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1587.355, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1587.355/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1587.355/1 each by 1000:

1587355/10 / 1000/10 = 1587355 / 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 1587.355 as a fraction:

49208/31 / 1

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