Question

addition of fractions 1
add
(1) ( 1\frac{3}{5}+\frac{1}{5}=)
(2) ( 2\frac{3}{7}+\frac{3}{7}=)
(3) ( \frac{5}{7}+4\frac{6}{7}=)
(4) ( \frac{2}{9}+\frac{8}{9}=)
(5) ( 3\frac{4}{9}+\frac{7}{9}=)
(6) ( \frac{8}{11}+\frac{8}{11}=)
(7) ( \frac{5}{11}+2\frac{9}{11}=)
(8) ( \frac{3}{13}+3\frac{5}{13}=)
(9) ( 4\frac{7}{13}+\frac{9}{13}=)

Explanation:

Step1: Add fractional parts

$1\frac{3}{5}+\frac{1}{5}=1+\frac{3+1}{5}$

Step2: Simplify the fraction

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

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Step1: Add fractional parts

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

Step2: Simplify the fraction

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

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Step1: Add fractional parts

$\frac{5}{7}+4\frac{6}{7}=4+\frac{5+6}{7}$

Step2: Simplify improper fraction

$4+\frac{11}{7}=4+1\frac{4}{7}$

Step3: Add whole numbers

$4+1\frac{4}{7}=5\frac{4}{7}$

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Step1: Add numerators, keep denominator

$\frac{2+8}{9}=\frac{10}{9}$

Step2: Convert to mixed number

$\frac{10}{9}=1\frac{1}{9}$

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Step1: Add fractional parts

$3\frac{4}{9}+\frac{7}{9}=3+\frac{4+7}{9}$

Step2: Simplify improper fraction

$3+\frac{11}{9}=3+1\frac{2}{9}$

Step3: Add whole numbers

$3+1\frac{2}{9}=4\frac{2}{9}$

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Step1: Add numerators, keep denominator

$\frac{8+8}{11}=\frac{16}{11}$

Step2: Convert to mixed number

$\frac{16}{11}=1\frac{5}{11}$

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Step1: Add fractional parts

$\frac{5}{11}+2\frac{9}{11}=2+\frac{5+9}{11}$

Step2: Simplify improper fraction

$2+\frac{14}{11}=2+1\frac{3}{11}$

Step3: Add whole numbers

$2+1\frac{3}{11}=3\frac{3}{11}$

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Step1: Add fractional parts

$\frac{3}{13}+3\frac{5}{13}=3+\frac{3+5}{13}$

Step2: Simplify the fraction

$3+\frac{8}{13}=3\frac{8}{13}$

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Step1: Add fractional parts

$4\frac{7}{13}+\frac{9}{13}=4+\frac{7+9}{13}$

Step2: Simplify improper fraction

$4+\frac{16}{13}=4+1\frac{3}{13}$

Step3: Add whole numbers

$4+1\frac{3}{13}=5\frac{3}{13}$

Answer:

(1) $1\frac{4}{5}$
(2) $2\frac{6}{7}$
(3) $5\frac{4}{7}$
(4) $1\frac{1}{9}$
(5) $4\frac{2}{9}$
(6) $1\frac{5}{11}$
(7) $3\frac{3}{11}$
(8) $3\frac{8}{13}$
(9) $5\frac{3}{13}$