Question

e140
(9) $5\frac{2}{9}+\frac{8}{9}=5\frac{\square}{9}=$
(10) $\frac{7}{9}+5\frac{7}{9}=$
(11) $6\frac{6}{11}+\frac{8}{11}=$
(12) $\frac{4}{11}+6\frac{9}{11}=$
(13) $2\frac{12}{13}+\frac{8}{13}=$
(14) $4\frac{6}{13}+\frac{9}{13}=$
(15) $3\frac{11}{15}+\frac{2}{15}=$
(16) $\frac{8}{15}+5\frac{11}{15}=$
(17) $7\frac{12}{17}+\frac{9}{17}=$

Explanation:

Step1: Add numerators (same denominator)

For (9): $5\frac{2+8}{9}=5\frac{10}{9}$

Step2: Convert improper fraction part

$5\frac{10}{9}=5+1\frac{1}{9}=6\frac{1}{9}$

Step1: Combine whole + fraction parts

For (10): $5 + \frac{7+7}{9}=5+\frac{14}{9}$

Step2: Simplify improper fraction

$5+1\frac{5}{9}=6\frac{5}{9}$

Step1: Add numerators (same denominator)

For (11): $6+\frac{6+8}{11}=6+\frac{14}{11}$

Step2: Simplify improper fraction

$6+1\frac{3}{11}=7\frac{3}{11}$

Step1: Add numerators (same denominator)

For (12): $6+\frac{4+9}{11}=6+\frac{13}{11}$

Step2: Simplify improper fraction

$6+1\frac{2}{11}=7\frac{2}{11}$

Step1: Add numerators (same denominator)

For (13): $2+\frac{12+8}{13}=2+\frac{20}{13}$

Step2: Simplify improper fraction

$2+1\frac{7}{13}=3\frac{7}{13}$

Step1: Add numerators (same denominator)

For (14): $4+\frac{6+9}{13}=4+\frac{15}{13}$

Step2: Simplify improper fraction

$4+1\frac{2}{13}=5\frac{2}{13}$

Step1: Add numerators (same denominator)

For (15): $3+\frac{11+2}{15}=3+\frac{13}{15}=3\frac{13}{15}$

Step1: Add numerators (same denominator)

For (16): $5+\frac{8+11}{15}=5+\frac{19}{15}$

Step2: Simplify improper fraction

$5+1\frac{4}{15}=6\frac{4}{15}$

Step1: Add numerators (same denominator)

For (17): $7+\frac{12+9}{17}=7+\frac{21}{17}$

Step2: Simplify improper fraction

$7+1\frac{4}{17}=8\frac{4}{17}$

Answer:

(9) $6\frac{1}{9}$
(10) $6\frac{5}{9}$
(11) $7\frac{3}{11}$
(12) $7\frac{2}{11}$
(13) $3\frac{7}{13}$
(14) $5\frac{2}{13}$
(15) $3\frac{13}{15}$
(16) $6\frac{4}{15}$
(17) $8\frac{4}{17}$