Question

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

Explanation:

Step1: Add numerators, keep denominator

$\frac{2}{5}+\frac{4}{5}=\frac{2+4}{5}=\frac{6}{5}$

Step2: Convert to mixed number

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

Step1: Add numerators, keep denominator

$\frac{4}{5}+\frac{3}{5}=\frac{4+3}{5}=\frac{7}{5}$

Step2: Convert to mixed number

$\frac{7}{5}=1\frac{2}{5}$

Step1: Add numerators, keep denominator

$\frac{6}{7}+\frac{4}{7}=\frac{6+4}{7}=\frac{10}{7}$

Step2: Convert to mixed number

$\frac{10}{7}=1\frac{3}{7}$

Step1: Add numerators, keep denominator

$\frac{6}{7}+\frac{6}{7}=\frac{6+6}{7}=\frac{12}{7}$

Step2: Convert to mixed number

$\frac{12}{7}=1\frac{5}{7}$

Step1: Add numerators, keep denominator

$\frac{1}{9}+\frac{8}{9}=\frac{1+8}{9}=\frac{9}{9}$

Step2: Simplify to whole number

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

Step1: Add numerators, keep denominator

$\frac{5}{9}+\frac{8}{9}=\frac{5+8}{9}=\frac{13}{9}$

Step2: Convert to mixed number

$\frac{13}{9}=1\frac{4}{9}$

Step1: Add numerators, keep denominator

$\frac{9}{11}+\frac{7}{11}=\frac{9+7}{11}=\frac{16}{11}$

Step2: Convert to mixed number

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

Step1: Add numerators, keep denominator

$\frac{9}{13}+\frac{8}{13}=\frac{9+8}{13}=\frac{17}{13}$

Step2: Convert to mixed number

$\frac{17}{13}=1\frac{4}{13}$

Answer:

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