How to convert 56.78548831936 as a fraction

Question: What is 56.78548831936 as a fraction?


Answer: 56.78548831936 as a fraction is 17206/303


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How to convert 56.78548831936 as a fraction?

Solution:56.78548831936 as a fraction is 17206/303

Step 1:

The first step to converting 56.78548831936 to a fraction is to re-write 56.78548831936 in the form p/q where p and q are both positive integers. To start with, 56.78548831936 can be written as simply 56.78548831936/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 56.78548831936, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 56.78548831936/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 56.78548831936/1 each by 100000000000:

5678548831936/10 / 100000000000/10 = 5678548831936 / 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 56.78548831936 as a fraction:

17206/303 / 1

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