How to convert 1189.7692 as a fraction

Question: What is 1189.7692 as a fraction?


Answer: 1189.7692 as a fraction is 15467/13


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How to convert 1189.7692 as a fraction?

Solution:1189.7692 as a fraction is 15467/13

Step 1:

The first step to converting 1189.7692 to a fraction is to re-write 1189.7692 in the form p/q where p and q are both positive integers. To start with, 1189.7692 can be written as simply 1189.7692/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1189.7692, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1189.7692/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1189.7692/1 each by 10000:

11897692/10 / 10000/10 = 11897692 / 10000

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 1189.7692 as a fraction:

15467/13 / 1

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