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Q9. Anya uses
1(1)/(2)kg of flour,
2(1)/(3)kg of cheese and
(1)/(4)kg of pepperoni to make pizza. Find the total mass of ingredients she uses?

Q $9$ . Anya uses $\frac{3}{2}\,\text{kg}$ of flour, $\frac{8}{3}\,\text{kg}$ of cheese and $\frac{1}{4}\,\text{kg}$ of pepperoni to make pizza. Find the total mass of ingredients she uses?

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Multiplication with rational exponents

Full solution

Q. Q

9

. Anya uses

\frac{3}{2}\,\text{kg}

of flour,

\frac{8}{3}\,\text{kg}

of cheese and

\frac{1}{4}\,\text{kg}

of pepperoni to make pizza. Find the total mass of ingredients she uses?

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier addition. $\newline$ $1\frac{1}{2} = \frac{2\times1 + 1}{2} = \frac{3}{2}$ kg of flour, $\newline$ $2\frac{1}{3} = \frac{3\times2 + 1}{3} = \frac{7}{3}$ kg of cheese, $\newline$ $\frac{1}{4}$ kg of pepperoni remains the same.
Add Fractions: Add the fractions together. $\newline$ Total mass = $(\frac{3}{2}) + (\frac{7}{3}) + (\frac{1}{4})$ $\newline$ To add, find a common denominator, which is $12$ . $\newline$ $(\frac{3}{2}) = \frac{18}{12}$ , $(\frac{7}{3}) = \frac{28}{12}$ , $(\frac{1}{4}) = \frac{3}{12}$ $\newline$ Total mass = $\frac{18}{12} + \frac{28}{12} + \frac{3}{12} = \frac{49}{12}$ kg
Convert Back to Mixed Number: Convert the improper fraction back to a mixed number. $\frac{49}{12} = 4\frac{1}{12}$ kg

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