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

Answer:

$\texttt{Fraction of the windows remain for Kendra to wash = }\frac{4}{15}$

Step-by-step 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.

$\texttt{Windows washed on Monday = }\frac{2}{5}w\\\\\texttt{Windows washed on tuesday = }\frac{1}{3}w$

$\texttt{Total number of windows washed on Monday and Tuesday = }\frac{2}{5}w+\frac{1}{3}w\\\\\texttt{Total number of windows washed on Monday and Tuesday = }\frac{6+5}{15}w\\\\\texttt{Total number of windows washed on Monday and Tuesday = }\frac{11}{15}w$

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

$\texttt{Remaining number of windows to be washed =}w-\frac{11}{15}w=\frac{4}{15}w$

$\texttt{Fraction of the windows remain for Kendra to wash = }\frac{4}{15}$