How to convert 961.43531166749 as a fraction

Question: What is 961.43531166749 as a fraction?


Answer: 961.43531166749 as a fraction is 22113/23


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How to convert 961.43531166749 as a fraction?

Solution:961.43531166749 as a fraction is 22113/23

Step 1:

The first step to converting 961.43531166749 to a fraction is to re-write 961.43531166749 in the form p/q where p and q are both positive integers. To start with, 961.43531166749 can be written as simply 961.43531166749/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 961.43531166749, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 961.43531166749/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 961.43531166749/1 each by 100000000000:

96143531166749/10 / 100000000000/10 = 96143531166749 / 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 961.43531166749 as a fraction:

22113/23 / 1

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