How to convert 1423.825 as a fraction

Question: What is 1423.825 as a fraction?


Answer: 1423.825 as a fraction is 32748/23


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How to convert 1423.825 as a fraction?

Solution:1423.825 as a fraction is 32748/23

Step 1:

The first step to converting 1423.825 to a fraction is to re-write 1423.825 in the form p/q where p and q are both positive integers. To start with, 1423.825 can be written as simply 1423.825/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1423.825, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1423.825/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1423.825/1 each by 1000:

1423825/10 / 1000/10 = 1423825 / 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 1423.825 as a fraction:

32748/23 / 1

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