How to convert 5.478567636719 as a fraction

Question: What is 5.478567636719 as a fraction?


Answer: 5.478567636719 as a fraction is 767/140


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How to convert 5.478567636719 as a fraction?

Solution:5.478567636719 as a fraction is 767/140

Step 1:

The first step to converting 5.478567636719 to a fraction is to re-write 5.478567636719 in the form p/q where p and q are both positive integers. To start with, 5.478567636719 can be written as simply 5.478567636719/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 5.478567636719, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.478567636719/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 5.478567636719/1 each by 1000000000000:

5478567636719/10 / 1000000000000/10 = 5478567636719 / 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 5.478567636719 as a fraction:

767/140 / 1

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