Marcus ate $\frac{2}{8}$ of a large pizza. $\frac{3}{4}$ of the remaining pizza was eaten by Lizzie. How much of the pizza did Lizzie eat?

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Solution

Fraction of the pizza eaten by Marcus = $\frac{2}{8}$

Remaining pizza = $\frac{8}{8}$ - $\frac{2}{8}$
= $\frac{6}{8}$
Amount of the pizza eaten by Lizzie = $\frac{3}{4}$ × $\frac{6}{8}$ = $\frac{18}{32}$
= $\frac{9 \times 2}{16 \times 2}$
= $\frac{9}{16}$

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Marcus ate 28 of a large pizza. 34 of the remaining pizza was eaten by Lizzie. How much of the pizza did Lizzie eat?

Fraction of the pizza eaten by Marcus =28 Remaining pizza = 88 - 28 = 68 Amount of the pizza eaten by Lizzie = 34 × 68 =1832 = 9×216×2 =916

Marcus ate $\frac{2}{8}$ of a large pizza. $\frac{3}{4}$ of the remaining pizza was eaten by Lizzie. How much of the pizza did Lizzie eat?

Fraction of the pizza eaten by Marcus = $\frac{2}{8}$

Remaining pizza = $\frac{8}{8}$ - $\frac{2}{8}$
= $\frac{6}{8}$
Amount of the pizza eaten by Lizzie = $\frac{3}{4}$ × $\frac{6}{8}$ = $\frac{18}{32}$
= $\frac{9 \times 2}{16 \times 2}$
= $\frac{9}{16}$