How to convert 1987.742 as a fraction

Question: What is 1987.742 as a fraction?


Answer: 1987.742 as a fraction is 61620/31


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How to convert 1987.742 as a fraction?

Solution:1987.742 as a fraction is 61620/31

Step 1:

The first step to converting 1987.742 to a fraction is to re-write 1987.742 in the form p/q where p and q are both positive integers. To start with, 1987.742 can be written as simply 1987.742/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1987.742, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1987.742/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1987.742/1 each by 1000:

1987742/10 / 1000/10 = 1987742 / 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 1987.742 as a fraction:

61620/31 / 1

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