How to convert 78.82375 as a fraction

Question: What is 78.82375 as a fraction?


Answer: 78.82375 as a fraction is 20573/261


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How to convert 78.82375 as a fraction?

Solution:78.82375 as a fraction is 20573/261

Step 1:

The first step to converting 78.82375 to a fraction is to re-write 78.82375 in the form p/q where p and q are both positive integers. To start with, 78.82375 can be written as simply 78.82375/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 78.82375, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 78.82375/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 78.82375/1 each by 100000:

7882375/10 / 100000/10 = 7882375 / 100000

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 78.82375 as a fraction:

20573/261 / 1

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