Question

k ( 13\frac{5}{9} - 8\frac{1}{6} ) u ( \frac{3}{4} div \frac{7}{10} ) s ( 8\frac{1}{3} div 3\frac{3}{4} ) a ( 1\frac{3}{5} \times 2\frac{5}{16} ) s of tropical poured in and ( 2\frac{1}{2} ) gal of ingredient es george w

Explanation:

Step1: Convert to improper fractions

$13\frac{5}{9} = \frac{13\times9 + 5}{9} = \frac{122}{9}$, $8\frac{1}{6} = \frac{8\times6 + 1}{6} = \frac{49}{6}$

Step2: Find common denominator

Common denominator of 9 and 6 is 18. $\frac{122}{9} = \frac{244}{18}$, $\frac{49}{6} = \frac{147}{18}$

Step3: Subtract the fractions

$\frac{244}{18} - \frac{147}{18} = \frac{97}{18}$

Step4: Convert to mixed number

$\frac{97}{18} = 5\frac{7}{18}$

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Step1: Rewrite division as multiplication

$\frac{3}{4} \div \frac{7}{10} = \frac{3}{4} \times \frac{10}{7}$

Step2: Multiply numerators and denominators

$\frac{3\times10}{4\times7} = \frac{30}{28}$

Step3: Simplify the fraction

$\frac{30}{28} = \frac{15}{14} = 1\frac{1}{14}$

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Step1: Convert to improper fractions

$8\frac{1}{3} = \frac{8\times3 + 1}{3} = \frac{25}{3}$, $3\frac{3}{4} = \frac{3\times4 + 3}{4} = \frac{15}{4}$

Step2: Rewrite division as multiplication

$\frac{25}{3} \div \frac{15}{4} = \frac{25}{3} \times \frac{4}{15}$

Step3: Simplify and multiply

$\frac{25\times4}{3\times15} = \frac{5\times4}{3\times3} = \frac{20}{9} = 2\frac{2}{9}$

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Step1: Convert to improper fractions

$1\frac{3}{5} = \frac{1\times5 + 3}{5} = \frac{8}{5}$, $2\frac{5}{16} = \frac{2\times16 + 5}{16} = \frac{37}{16}$

Step2: Multiply numerators and denominators

$\frac{8\times37}{5\times16}$

Step3: Simplify and calculate

$\frac{37}{5\times2} = \frac{37}{10} = 3\frac{7}{10}$

Answer:

K: $5\frac{7}{18}$
U: $1\frac{1}{14}$
S: $2\frac{2}{9}$
A: $3\frac{7}{10}$