How to convert 1400.565 as a fraction

Question: What is 1400.565 as a fraction?


Answer: 1400.565 as a fraction is 32213/23


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How to convert 1400.565 as a fraction?

Solution:1400.565 as a fraction is 32213/23

Step 1:

The first step to converting 1400.565 to a fraction is to re-write 1400.565 in the form p/q where p and q are both positive integers. To start with, 1400.565 can be written as simply 1400.565/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1400.565, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1400.565/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1400.565/1 each by 1000:

1400565/10 / 1000/10 = 1400565 / 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 1400.565 as a fraction:

32213/23 / 1

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