How to convert 279.7728675 as a fraction

Question: What is 279.7728675 as a fraction?


Answer: 279.7728675 as a fraction is 6155/22


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How to convert 279.7728675 as a fraction?

Solution:279.7728675 as a fraction is 6155/22

Step 1:

The first step to converting 279.7728675 to a fraction is to re-write 279.7728675 in the form p/q where p and q are both positive integers. To start with, 279.7728675 can be written as simply 279.7728675/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 279.7728675, which in this case is 7. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 279.7728675/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 279.7728675/1 each by 10000000:

2797728675/10 / 10000000/10 = 2797728675 / 10000000

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 279.7728675 as a fraction:

6155/22 / 1

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