How to convert 318.2276413724 as a fraction

Question: What is 318.2276413724 as a fraction?


Answer: 318.2276413724 as a fraction is 39142/123


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How to convert 318.2276413724 as a fraction?

Solution:318.2276413724 as a fraction is 39142/123

Step 1:

The first step to converting 318.2276413724 to a fraction is to re-write 318.2276413724 in the form p/q where p and q are both positive integers. To start with, 318.2276413724 can be written as simply 318.2276413724/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 318.2276413724, which in this case is 10. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 318.2276413724/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 318.2276413724/1 each by 10000000000:

3182276413724/10 / 10000000000/10 = 3182276413724 / 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 318.2276413724 as a fraction:

39142/123 / 1

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