How to convert 216.7424578723 as a fraction

Question: What is 216.7424578723 as a fraction?


Answer: 216.7424578723 as a fraction is 14305/66


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How to convert 216.7424578723 as a fraction?

Solution:216.7424578723 as a fraction is 14305/66

Step 1:

The first step to converting 216.7424578723 to a fraction is to re-write 216.7424578723 in the form p/q where p and q are both positive integers. To start with, 216.7424578723 can be written as simply 216.7424578723/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 216.7424578723, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 216.7424578723/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 216.7424578723/1 each by 10000000000:

2167424578723/10 / 10000000000/10 = 2167424578723 / 10000000000

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 216.7424578723 as a fraction:

14305/66 / 1

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