How to convert 159.3649 as a fraction

Question: What is 159.3649 as a fraction?


Answer: 159.3649 as a fraction is 11793/74


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How to convert 159.3649 as a fraction?

Solution:159.3649 as a fraction is 11793/74

Step 1:

The first step to converting 159.3649 to a fraction is to re-write 159.3649 in the form p/q where p and q are both positive integers. To start with, 159.3649 can be written as simply 159.3649/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 159.3649, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 159.3649/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 159.3649/1 each by 10000:

1593649/10 / 10000/10 = 1593649 / 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 159.3649 as a fraction:

11793/74 / 1

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