How to convert 967.78214915 as a fraction

Question: What is 967.78214915 as a fraction?


Answer: 967.78214915 as a fraction is 22259/23


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How to convert 967.78214915 as a fraction?

Solution:967.78214915 as a fraction is 22259/23

Step 1:

The first step to converting 967.78214915 to a fraction is to re-write 967.78214915 in the form p/q where p and q are both positive integers. To start with, 967.78214915 can be written as simply 967.78214915/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 967.78214915, which in this case is 8. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 967.78214915/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 967.78214915/1 each by 100000000:

96778214915/10 / 100000000/10 = 96778214915 / 100000000

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 967.78214915 as a fraction:

22259/23 / 1

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