How to convert 9.45678571408 as a fraction

Question: What is 9.45678571408 as a fraction?


Answer: 9.45678571408 as a fraction is 766/81


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How to convert 9.45678571408 as a fraction?

Solution:9.45678571408 as a fraction is 766/81

Step 1:

The first step to converting 9.45678571408 to a fraction is to re-write 9.45678571408 in the form p/q where p and q are both positive integers. To start with, 9.45678571408 can be written as simply 9.45678571408/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 9.45678571408, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 9.45678571408/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 9.45678571408/1 each by 100000000000:

945678571408/10 / 100000000000/10 = 945678571408 / 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 9.45678571408 as a fraction:

766/81 / 1

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