How to convert 5.78517 as a fraction

Question: What is 5.78517 as a fraction?


Answer: 5.78517 as a fraction is 2262/391


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How to convert 5.78517 as a fraction?

Solution:5.78517 as a fraction is 2262/391

Step 1:

The first step to converting 5.78517 to a fraction is to re-write 5.78517 in the form p/q where p and q are both positive integers. To start with, 5.78517 can be written as simply 5.78517/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.78517, which in this case is 5. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.78517/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.78517/1 each by 100000:

578517/10 / 100000/10 = 578517 / 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 5.78517 as a fraction:

2262/391 / 1

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