How to convert 1987.722 as a fraction

Question: What is 1987.722 as a fraction?


Answer: 1987.722 as a fraction is 35779/18


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How to convert 1987.722 as a fraction?

Solution:1987.722 as a fraction is 35779/18

Step 1:

The first step to converting 1987.722 to a fraction is to re-write 1987.722 in the form p/q where p and q are both positive integers. To start with, 1987.722 can be written as simply 1987.722/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1987.722, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1987.722/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1987.722/1 each by 1000:

1987722/10 / 1000/10 = 1987722 / 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 1987.722 as a fraction:

35779/18 / 1

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