How to convert 199.765 as a fraction

Question: What is 199.765 as a fraction?


Answer: 199.765 as a fraction is 36557/183


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How to convert 199.765 as a fraction?

Solution:199.765 as a fraction is 36557/183

Step 1:

The first step to converting 199.765 to a fraction is to re-write 199.765 in the form p/q where p and q are both positive integers. To start with, 199.765 can be written as simply 199.765/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 199.765, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 199.765/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 199.765/1 each by 1000:

199765/10 / 1000/10 = 199765 / 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 199.765 as a fraction:

36557/183 / 1

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