Question

Please tell me the full answer of this question.​

Answer 1

Explanation:

a)

$\frac{4}{15} + \frac{3}{4} \\ lcm \: of \: 15 \: and \: 4 = 60 \\ \frac{4 \times 4}{15 \times 4} = \frac{16}{60} \\ \frac{3 \times 15}{4 \times 15} = \frac{45}{60} \\ \frac{16 + 45}{60} \\ \frac{61}{60} = 1 \times \frac{1}{60}$

b)

$\frac{5}{9} + \frac{4}{7} \\ lcm \: of \: 9 \: and \: 7 = 63 \\ \frac{5 \times 7}{9 \times 7} = \frac{35}{63} \\ \frac{4 \times 9}{7 \times 9} = \frac{36}{63} \\ \frac{35 + 36}{63} \\ \frac{71}{63} = 1 \times \frac{8}{63}$

c)

$\frac{7}{15} + \frac{12}{20} \\ lcm = 60 \\ \frac{7 \times 4}{15 \times 4} = \frac{28}{60} \\ \frac{12 \times 3}{20 \times 3} = \frac{36}{60} \\ \frac{28 + 36}{60} \\ \frac{64}{60} = 1 \times \frac{4}{60}$

d)

$\frac{4}{5} + \frac{9}{15} \\ lcm = 15 \\ \frac{4 \times 3}{5 \times 3} = \frac{12}{15} \\ \frac{9 \times 1}{15 \times 1} = \frac{9}{15} \\ \frac{12 + 9}{15} \\ \frac{21}{15} = 1 \times \frac{6}{15}$

e)

$4 \times \frac{1}{2} + 3 \times \frac{1}{5} \\ \frac{9}{2} + \frac{16}{5} \\ lcm = 10 \\ \frac{9 \times 5}{2 \times 5} = \frac{45}{10} \\ \frac{16 \times 2}{5 \times 2} = \frac{32}{10} \\ \frac{45 + 32}{10} \\ \frac{77}{10} = 7 \times \frac{7}{10}$

f)

$1 \times \frac{1}{3} + 2 \times \frac{1}{9} \\ \frac{4}{3} + \frac{19}{9} \\ lcm = 9 \\ \frac{4 \times 3}{3 \times 3} = \frac{12}{9} \\ \frac{19 \times 1}{9 \times 1} = \frac{19}{9} \\ \frac{12 + 19}{9} \\ \frac{31}{9} = 3 \times \frac{4}{9}$

g)

$14 \times \frac{1}{2} + 4 \\ \frac{29}{2} + 4 \\ lcm = 2 \\ \frac{29 \times 1}{2 \times 1} = \frac{29}{2} \\ \frac{4 \times 2}{1 \times 2} = \frac{8}{2} \\ \frac{29 + 8}{2} \\ \frac{37}{2} = 18 \times \frac{1}{2}$

h)

$3 + 4 \times \frac{1}{5} \\ 3 + \frac{21}{5} \\ lcm = 5 \\ \frac{3 \times 5}{1 \times 5} = \frac{15}{5} \\ \frac{21 \times 1}{5 \times 1} = \frac{21}{5} \\ \frac{15 + 21}{5} \\ \frac{36}{5} = 7 \times \frac{1}{5}$

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