Mario 4

Mario renames the mixed numbers to fractions greater than 1 to find 4 and 1/2 - 2 and 2/3. Which fractions should Mario use to find the difference?
Group of answer choices

Correct answer:

a =  4 ¹⁄₂ = 9/2
b =  2 ²⁄₃ = 8/3
c =  1 ⁵⁄₆ = 11/6

Step-by-step explanation:

$a=4\frac{1}{2}=4+\frac{1}{2}=\frac{4\cdot 2+1}{2}=\frac{8+1}{2}=\frac{9}{2}=4\frac{1}{2}=4.5$

$b=2\frac{2}{3}=2+\frac{2}{3}=\frac{2\cdot 3+2}{3}=\frac{6+2}{3}=\frac{8}{3}=2\frac{2}{3}=2.6667$

$c=a-b=\frac{9}{2}-\frac{8}{3}=\frac{27}{6}-\frac{16}{6}=\frac{27-16}{6}=\frac{11}{6}=1\frac{5}{6}=1.8333$

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