John has painted 4/5 of his house the next day he painted 2/3 of what he had left what fraction of the house is left to paint

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24-10-2017
Mathematics

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John has painted 4/5 of his house the next day he painted 2/3 of what he had left what fraction of the house is left to paint

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jdoe0001 jdoe0001 · Answer 1 · 2017-10-24T23:55:00+02:00

a whole, is whatever/whatever.

so... he painted 4/5 of the house first..... now the whole house is 5/5, from 4/5 to 5/5 is just 1/5, so 1/5 was left for the next day.

the next day, he painted only 2/3 of what was left, what is 2/3 of 1/5? well is just their product.

[tex]\bf \cfrac{2}{3}\cdot \cfrac{1}{5}\implies \cfrac{2}{15}\impliedby \textit{only painted the next day the slacker} \\\\\\ \textit{so he has painted in total }\cfrac{4}{5}+\cfrac{2}{15}\impliedby \textit{LCD of 15}\implies \cfrac{12+2}{15} \\\\\\ \stackrel{painted}{\cfrac{14}{15}}\qquad \qquad \stackrel{whole}{\cfrac{15}{15}}-\stackrel{painted}{\cfrac{14}{15}}\implies \stackrel{unpainted}{\cfrac{1}{15}}[/tex]