Video Transcript
Use a calculator to convert 3.1
recurring into a fraction.
In this question, we are asked
to convert a recurring decimal into a fraction by using a calculator. To do this, we first recall
that the dot above the digit one tells us that this digit repeats indefinitely
in the decimal expansion of this number. We can keep adding more and
more digits to get closer to the actual value of this number. We can use this idea and a
calculator to find the fraction that is equivalent to this expansion. We continue to add more and
more of the repeated digits of the expansion into the calculator and then press
equals.
If we input enough repeating
decimals, we will get a fractional output of 28 over nine. It is worth noting if we do not
input enough digits, we will get a decimal answer. So we should make sure that our
answer is a fraction. We can check that this fraction
is the correct answer by converting 28 over nine into a recurring decimal to
show that it is equal to 3.1 recurring. Hence, we showed that 3.1
recurring is equal to 28 over nine.
