How to convert 294.78509188974 as a fraction

Question: What is 294.78509188974 as a fraction?


Answer: 294.78509188974 as a fraction is 31542/107


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How to convert 294.78509188974 as a fraction?

Solution:294.78509188974 as a fraction is 31542/107

Step 1:

The first step to converting 294.78509188974 to a fraction is to re-write 294.78509188974 in the form p/q where p and q are both positive integers. To start with, 294.78509188974 can be written as simply 294.78509188974/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 294.78509188974, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 294.78509188974/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 294.78509188974/1 each by 100000000000:

29478509188974/10 / 100000000000/10 = 29478509188974 / 100000000000

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 294.78509188974 as a fraction:

31542/107 / 1

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