How to convert 959.41945087578 as a fraction

Question: What is 959.41945087578 as a fraction?


Answer: 959.41945087578 as a fraction is 29742/31


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How to convert 959.41945087578 as a fraction?

Solution:959.41945087578 as a fraction is 29742/31

Step 1:

The first step to converting 959.41945087578 to a fraction is to re-write 959.41945087578 in the form p/q where p and q are both positive integers. To start with, 959.41945087578 can be written as simply 959.41945087578/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 959.41945087578, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 959.41945087578/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 959.41945087578/1 each by 100000000000:

95941945087578/10 / 100000000000/10 = 95941945087578 / 100000000000

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 959.41945087578 as a fraction:

29742/31 / 1

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