Video Transcript
Use a calculator to write 1.23 recurring as a fraction.
We begin by recalling that the bar above the digits two and three means that these numbers are repeating. And as such, 1.23 recurring is equal to 1.232323 and so on. Note that the bar can also be replaced by dots above the repeating digits to denote the decimal is recurring.
In this question, we want to write this decimal as a fraction using a calculator. When we type 1.232323 and so on into the calculator, it is important that we repeat the digits two three enough times so that the calculator will output a fraction. Repeating the digits two three six times and pressing equals gives us the fraction 122 over 99.
Note that if the calculator does not output a fraction but instead a decimal answer, then we did not repeat the digits enough times. We can therefore conclude that the decimal 1.23 recurring is equal to the fraction 122 over 99.
