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add. ex. $2\\frac{5}{7}+\\frac{6}{7}=2\\frac{11}{7}=3\\frac{4}{7}$ (1) …

Question

add.
ex. $2\frac{5}{7}+\frac{6}{7}=2\frac{11}{7}=3\frac{4}{7}$
(1) $2\frac{4}{5}+\frac{2}{5}=2\frac{\boxed{6}}{5}=3\frac{\boxed{1}}{5}$
(2) $2\frac{3}{5}+\frac{4}{5}=2\frac{\square}{5}=$
(3) $\frac{3}{7}+2\frac{6}{7}=$
(4) $3\frac{6}{7}+\frac{5}{7}=3\frac{\square}{7}=\boxed{4}\frac{\square}{7}$
(5) $3\frac{5}{7}+\frac{3}{7}=3\frac{\square}{7}=$
(6) $\frac{5}{9}+3\frac{5}{9}=$
(7) $4\frac{8}{9}+\frac{2}{9}=4\frac{\square}{9}=$
(8) $4\frac{7}{11}+\frac{6}{11}=$

Explanation:

Step1: Add numerators (same denominator)

For (1): $2\frac{4+2}{5}=2\frac{6}{5}$

Step2: Convert to mixed number

$2\frac{6}{5}=3\frac{1}{5}$
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Step1: Add numerators (same denominator)

For (2): $2\frac{3+4}{5}=2\frac{7}{5}$

Step2: Convert to mixed number

$2\frac{7}{5}=3\frac{2}{5}$
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Step1: Add numerators (same denominator)

For (3): $\frac{3+6}{7}+2=2\frac{9}{7}$

Step2: Convert to mixed number

$2\frac{9}{7}=3\frac{2}{7}$
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Step1: Add numerators (same denominator)

For (4): $3\frac{6+5}{7}=3\frac{11}{7}$

Step2: Convert to mixed number

$3\frac{11}{7}=4\frac{4}{7}$
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Step1: Add numerators (same denominator)

For (5): $3\frac{5+3}{7}=3\frac{8}{7}$

Step2: Convert to mixed number

$3\frac{8}{7}=4\frac{1}{7}$
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Step1: Add numerators (same denominator)

For (6): $\frac{5+5}{9}+3=3\frac{10}{9}$

Step2: Convert to mixed number

$3\frac{10}{9}=4\frac{1}{9}$
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Step1: Add numerators (same denominator)

For (7): $4\frac{8+2}{9}=4\frac{10}{9}$

Step2: Convert to mixed number

$4\frac{10}{9}=5\frac{1}{9}$
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Step1: Add numerators (same denominator)

For (8): $4\frac{7+6}{11}=4\frac{13}{11}$

Step2: Convert to mixed number

$4\frac{13}{11}=5\frac{2}{11}$

Answer:

(1) $2\frac{6}{5}$, $3\frac{1}{5}$
(2) $2\frac{7}{5}$, $3\frac{2}{5}$
(3) $3\frac{2}{7}$
(4) $3\frac{11}{7}$, $4\frac{4}{7}$
(5) $3\frac{8}{7}$, $4\frac{1}{7}$
(6) $4\frac{1}{9}$
(7) $4\frac{10}{9}$, $5\frac{1}{9}$
(8) $5\frac{2}{11}$