Question

(2) $2\frac{1}{9} - \frac{1}{2} - \frac{1}{3}$
(4) $2\frac{7}{9} - \frac{1}{2} - \frac{2}{3}$

Explanation:

Step1: Convert mixed number to improper fraction

$2\frac{1}{9} = \frac{19}{9}$

Step2: Find common denominator (18)

$\frac{19}{9} = \frac{38}{18}$, $\frac{1}{2} = \frac{9}{18}$, $\frac{1}{3} = \frac{6}{18}$

Step3: Subtract fractions left to right

$\frac{38}{18} - \frac{9}{18} - \frac{6}{18} = \frac{38-9-6}{18} = \frac{23}{18}$

Step4: Simplify to mixed number

$\frac{23}{18} = 1\frac{5}{18}$

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Step1: Convert mixed number to improper fraction

$2\frac{7}{9} = \frac{25}{9}$

Step2: Find common denominator (18)

$\frac{25}{9} = \frac{50}{18}$, $\frac{1}{2} = \frac{9}{18}$, $\frac{2}{3} = \frac{12}{18}$

Step3: Subtract fractions left to right

$\frac{50}{18} - \frac{9}{18} - \frac{12}{18} = \frac{50-9-12}{18} = \frac{29}{18}$

Step4: Simplify to mixed number

$\frac{29}{18} = 1\frac{11}{18}$

Answer:

(2) $1\frac{5}{18}$
(4) $1\frac{11}{18}$