Question

e14b
e15e
addition
100
ac
(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}=)
(9) 4 13

Explanation:

Step1: Add numerators (same denominator)

For (9): $5\frac{2}{9}+\frac{8}{9}=5\frac{2+8}{9}=5\frac{10}{9}$
Convert to mixed number: $5\frac{10}{9}=6\frac{1}{9}$

Step2: Add mixed and proper fraction

For (10): $\frac{7}{9}+5\frac{7}{9}=5\frac{7+7}{9}=5\frac{14}{9}=6\frac{5}{9}$

Step3: Add numerators (same denominator)

For (11): $6\frac{6}{11}+\frac{8}{11}=6\frac{6+8}{11}=6\frac{14}{11}=7\frac{3}{11}$

Step4: Add numerators (same denominator)

For (12): $\frac{4}{11}+6\frac{9}{11}=6\frac{4+9}{11}=6\frac{13}{11}=7\frac{2}{11}$

Step5: Add numerators (same denominator)

For (13): $2\frac{12}{13}+\frac{8}{13}=2\frac{12+8}{13}=2\frac{20}{13}=3\frac{7}{13}$

Step6: Add numerators (same denominator)

For (14): $4\frac{6}{13}+\frac{9}{13}=4\frac{6+9}{13}=4\frac{15}{13}=5\frac{2}{13}$

Step7: Add numerators (same denominator)

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

Step8: Add numerators (same denominator)

For (16): $\frac{8}{15}+5\frac{11}{15}=5\frac{8+11}{15}=5\frac{19}{15}=6\frac{4}{15}$

Step9: Add numerators (same denominator)

For (17): $7\frac{12}{17}+\frac{9}{17}=7\frac{12+9}{17}=7\frac{21}{17}=8\frac{4}{17}$

Answer:

(9) $5\frac{10}{9}$, $6\frac{1}{9}$
(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) $8\frac{4}{17}$