Question

e15b
(10) \\(\frac{3}{7} + \frac{4}{7} =\\)
(11) \\(1\frac{3}{7} + \frac{4}{7} = \square \frac{7}{7} = \square\\)
(12) \\(2\frac{5}{7} + \frac{2}{7} = \square \frac{\square}{7} =\\)
(13) \\(\frac{4}{9} + 3\frac{5}{9} =\\)
(14) \\(4\frac{8}{11} + \frac{4}{11} =\\)
(15) \\(\frac{7}{13} + 2\frac{6}{13} =\\)
(16) \\(\frac{8}{15} + 4\frac{11}{15} =\\)
(17) \\(3\frac{16}{21} + \frac{5}{21} =\\)
(18) \\(\frac{18}{25} + 5\frac{8}{25} =\\)

Explanation:

Step1: Add numerators, same denominator

$\frac{3}{7}+\frac{4}{7}=\frac{3+4}{7}=\frac{7}{7}=1$

Step2: Add fraction parts first

$1\frac{3}{7}+\frac{4}{7}=1+\frac{3+4}{7}=1\frac{7}{7}=2$

Step3: Sum the fractional components

$2\frac{5}{7}+\frac{2}{7}=2+\frac{5+2}{7}=2\frac{7}{7}=3$

Step4: Combine mixed and proper fraction

$\frac{4}{9}+3\frac{5}{9}=3+\frac{4+5}{9}=3\frac{9}{9}=4$

Step5: Add numerators over 11

$4\frac{8}{11}+\frac{4}{11}=4+\frac{8+4}{11}=4\frac{12}{11}=5\frac{1}{11}$

Step6: Sum fractions with denominator 13

$\frac{7}{13}+2\frac{6}{13}=2+\frac{7+6}{13}=2\frac{13}{13}=3$

Step7: Add numerators over 15

$\frac{8}{15}+4\frac{11}{15}=4+\frac{8+11}{15}=4\frac{19}{15}=5\frac{4}{15}$

Step8: Combine fractions over 21

$3\frac{16}{21}+\frac{5}{21}=3+\frac{16+5}{21}=3\frac{21}{21}=4$

Step9: Sum fractions with denominator 25

$\frac{18}{25}+5\frac{8}{25}=5+\frac{18+8}{25}=5\frac{26}{25}=6\frac{1}{25}$

Answer:

(10) $1$
(11) $1\frac{7}{7}=2$
(12) $2\frac{7}{7}=3$
(13) $4$
(14) $5\frac{1}{11}$
(15) $3$
(16) $5\frac{4}{15}$
(17) $4$
(18) $6\frac{1}{25}$