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?

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

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agaue agaue · Answer 2 · 2019-10-15T11:31:21+02:00

Answer:

[tex]\texttt{Fraction of the windows remain for Kendra to wash = }\frac{4}{15}[/tex]

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.

[tex]\texttt{Windows washed on Monday = }\frac{2}{5}w\\\\\texttt{Windows washed on tuesday = }\frac{1}{3}w[/tex]

[tex]\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[/tex]

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

[tex]\texttt{Remaining number of windows to be washed =}w-\frac{11}{15}w=\frac{4}{15}w[/tex]

[tex]\texttt{Fraction of the windows remain for Kendra to wash = }\frac{4}{15}[/tex]