Mario 3

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?

Correct answer:

X = 27/6
Y = 16/6

Step-by-step explanation:

$$\begin{gathered} a=4\frac{1}{2}=4+\frac{1}{2}=\frac{4\cdot 2+1}{2}=\frac{8+1}{2}=\frac{9}{2}=4\frac{1}{2}=4.5 \\ b=2\frac{2}{3}=2+\frac{2}{3}=\frac{2\cdot 3+2}{3}=\frac{6+2}{3}=\frac{8}{3}=2\frac{2}{3}\doteq 2.6667 \\ c=a-b=\frac{9}{2}-\frac{8}{3}=\frac{27}{6}-\frac{16}{6}=\frac{27-16}{6}=\frac{11}{6}=1\frac{5}{6}\doteq 1.8333 \\ X=27/6 \end{gathered}$$

$Y=16/6$

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