Question

Kendra washes windows in an office building. She washes 2/5 of the windows on Monday. She washes 1/3 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?

Answer 1

first, u find conman denominator which is 15 so 2/5=6/15 & 1/3=5/15, which adds up to 11/15, so the remaining fraction that kendrs has to wash is 4/15

Answer 2

`\texttt{Fraction of the windows remain for Kendra to wash = }(4)/(15)`

Explanation:

Kendra washes windows in an office building. She washes 2/5 of the windows on Monday. She washes 1/3 of the windows on Tuesday.

Let w be the total number of windows.

`\texttt{Windows washed on Monday = }(2)/(5)w\\\\\texttt{Windows washed on tuesday = }(1)/(3)w`

`\texttt{Total number of windows washed on Monday and Tuesday = }(2)/(5)w+(1)/(3)w\\\\\texttt{Total number of windows washed on Monday and Tuesday = }(6+5)/(15)w\\\\\texttt{Total number of windows washed on Monday and Tuesday = }(11)/(15)w`

Remaining number of windows to be washed = Total number of windows - Total number of windows washed on Monday and Tuesday

`\texttt{Remaining number of windows to be washed =}w-(11)/(15)w=(4)/(15)w`

`\texttt{Fraction of the windows remain for Kendra to wash = }(4)/(15)`