How to convert 78.29745 as a fraction

Question: What is 78.29745 as a fraction?


Answer: 78.29745 as a fraction is 12371/158


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How to convert 78.29745 as a fraction?

Solution:78.29745 as a fraction is 12371/158

Step 1:

The first step to converting 78.29745 to a fraction is to re-write 78.29745 in the form p/q where p and q are both positive integers. To start with, 78.29745 can be written as simply 78.29745/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 78.29745, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 78.29745/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 78.29745/1 each by 100000:

7829745/10 / 100000/10 = 7829745 / 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 78.29745 as a fraction:

12371/158 / 1

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