How to convert 1782.385 as a fraction

Question: What is 1782.385 as a fraction?


Answer: 1782.385 as a fraction is 23171/13


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How to convert 1782.385 as a fraction?

Solution:1782.385 as a fraction is 23171/13

Step 1:

The first step to converting 1782.385 to a fraction is to re-write 1782.385 in the form p/q where p and q are both positive integers. To start with, 1782.385 can be written as simply 1782.385/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 1782.385, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1782.385/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 1782.385/1 each by 1000:

1782385/10 / 1000/10 = 1782385 / 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 1782.385 as a fraction:

23171/13 / 1

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