How to convert 11.578375312313 as a fraction

Question: What is 11.578375312313 as a fraction?


Answer: 11.578375312313 as a fraction is 2142/185


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How to convert 11.578375312313 as a fraction?

Solution:11.578375312313 as a fraction is 2142/185

Step 1:

The first step to converting 11.578375312313 to a fraction is to re-write 11.578375312313 in the form p/q where p and q are both positive integers. To start with, 11.578375312313 can be written as simply 11.578375312313/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 11.578375312313, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 11.578375312313/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 11.578375312313/1 each by 1000000000000:

11578375312313/10 / 1000000000000/10 = 11578375312313 / 1000000000000

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 11.578375312313 as a fraction:

2142/185 / 1

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