# A Strange Calculator

Algebra Level 2

I have a strange calculator. The four elementary calculations $+ , - , \times, \div$ are not available, but there is a button (called OMG) which has the following property: if you enter the number $a,$ press OMG, and enter the number $b,$ then the result shown on the screen is $1-\frac{a}{b}$. The change signs button and the calculator's memory are functioning normally, as are all the numbers from 0 to 9.

Is it possible to calculate the expression $\frac{(2018+2019-2020)\times 2021}{2022}$ using the calculator only?

EDIT: You MUST only use the calculator to calculate the expression! (i.e. you must perform the calculation $2018+2019$, then subtract the answer by $2020$, etc., using only buttons on the calculator). You CANNOT simplify the expression beforehand!

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