How to convert 1440.398461539 as a fraction

Question: What is 1440.398461539 as a fraction?


Answer: 1440.398461539 as a fraction is 184371/128


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How to convert 1440.398461539 as a fraction?

Solution:1440.398461539 as a fraction is 184371/128

Step 1:

The first step to converting 1440.398461539 to a fraction is to re-write 1440.398461539 in the form p/q where p and q are both positive integers. To start with, 1440.398461539 can be written as simply 1440.398461539/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1440.398461539, which in this case is 9. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1440.398461539/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1440.398461539/1 each by 1000000000:

1440398461539/10 / 1000000000/10 = 1440398461539 / 1000000000

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 1440.398461539 as a fraction:

184371/128 / 1

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