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Mr. Roboto has bought a can of paint can you use 3/8 of it to paint a bookshelf in use 1/4 of its pink leg and he used some of it to paint a birdhouse and he has one-eighth of it left how much paint do you use for the birdhouse?

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JeanaShupp

Answer: Fraction of paint used for bird  house = [tex]\dfrac14[/tex]

Step-by-step explanation:

Let quantity of the total paint be 1.

Given:  Fraction of paint to book shelf = [tex]\dfrac38[/tex]

Fraction of Paint to leg = [tex]\dfrac14[/tex]

Fraction of Paint left = [tex]\dfrac18[/tex]

Let x= fraction of paint used for bird house.

Total paint = [tex]\dfrac38 +\dfrac 14+\dfrac18+x=1[/tex]

[tex]\Rightarrow\ \dfrac{3+2+1}{8}+x=1\\\\\Rightarrow\ \dfrac{6}{8}+x=1\\\\\Rightarrow\ x=1-\dfrac68\\\\\Rightarrow\ x=\dfrac{2}{8}=\dfrac14[/tex]

So, Fraction of paint used for bird  house = [tex]\dfrac14[/tex]

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