Video Transcript
Write 11 and five-sixths as a
recurring decimal.
In this question, we are given
a mixed fraction and asked to find its recurring decimal expansion. We can do this by using a
calculator. We need to start by inputting
the number into a calculator. We can do this by using the
addition and division button or by using the mixed number button. Once we have entered the mixed
number, we press the equals button. Now, we need to click the
button to convert the output of the calculator to a decimal. This is usually the S to D
button. We get an output of the
calculator like the following.
We can see that in the decimal
expansion, the digit three is the only one that is repeating. So, when writing this in
recurring notation, we only need to put a dot over this digit. Hence, we have that 11 and
five-sixths is equal to 11.83 recurring.
