How to convert 1966.755 as a fraction

Question: What is 1966.755 as a fraction?


Answer: 1966.755 as a fraction is 96371/49


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How to convert 1966.755 as a fraction?

Solution:1966.755 as a fraction is 96371/49

Step 1:

The first step to converting 1966.755 to a fraction is to re-write 1966.755 in the form p/q where p and q are both positive integers. To start with, 1966.755 can be written as simply 1966.755/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1966.755, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1966.755/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1966.755/1 each by 1000:

1966755/10 / 1000/10 = 1966755 / 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 1966.755 as a fraction:

96371/49 / 1

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