Middle School

Mary mixes [tex]\frac{11}{12}[/tex] oz of red paint with [tex]1 \frac{3}{4}[/tex] oz of white paint. How many ounces of paint does Mary mix?

A. [tex]1 \frac{2}{3}[/tex] oz
B. [tex]1 \frac{5}{6}[/tex] oz
C. [tex]1 \frac{7}{8}[/tex] oz
D. [tex]2 \frac{2}{3}[/tex] oz

Answer :

[tex]\dfrac{11}{12}+1\frac{3}{4}=\dfrac{11}{12}+\left(\dfrac{12}{12}+\dfrac{9}{12}\right)\\\\=\dfrac{11+12+9}{12}=\dfrac{32}{12}\\\\=\dfrac{4\cdot 8}{4\cdot 3}=\dfrac{6+2}{3}\\\\=2\frac{2}{3}[/tex]

Mary's paint mix totals ...

... D. 2 2/3 oz

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