How to convert 1.198593749992 as a fraction

Question: What is 1.198593749992 as a fraction?


Answer: 1.198593749992 as a fraction is 682/569


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How to convert 1.198593749992 as a fraction?

Solution:1.198593749992 as a fraction is 682/569

Step 1:

The first step to converting 1.198593749992 to a fraction is to re-write 1.198593749992 in the form p/q where p and q are both positive integers. To start with, 1.198593749992 can be written as simply 1.198593749992/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1.198593749992, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.198593749992/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1.198593749992/1 each by 1000000000000:

1198593749992/10 / 1000000000000/10 = 1198593749992 / 1000000000000

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 1.198593749992 as a fraction:

682/569 / 1

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