Answer:
[tex]a) \frac{5}{4} + \frac{3}{8} - \frac{1}{7} [/tex]
LCM (4, 8, 7) = 8 x 7
[tex] = \frac{(5 \times 14) + (3 \times 7) - (1 \times 8)}{8 \times 7} [/tex]
[tex] = \frac{70 + 21 - 8}{56} [/tex]
[tex] = \frac{91 - 8}{56} [/tex]
[tex] = \frac{83}{56} = 1 \frac{27}{56} [/tex]
[tex]b)10 - 3 \frac{1}{5} - 5 \frac{3}{10} [/tex]
[tex] = 10 - \frac{16}{5} - \frac{53}{10} [/tex]
LCM (5, 10) = 10
[tex] = \frac{(10 \times 10) - (16 \times 2) - 53}{10} [/tex]
[tex] = \frac{100 - 32 - 53}{10} [/tex]
[tex] = \frac{100 - 85}{10} [/tex]
[tex] = \frac{15}{10} = \frac{3}{2} = 1 \frac{1}{2} [/tex]
[tex]c) 4 \frac{1}{4}-2 \frac{3}{8}+ 3 \frac{1}{3} [/tex]
[tex] = \frac{17}{4} - \frac{19}{8} + \frac{10}{3} [/tex]
LCM (4, 8, 3) = 8 x 3
[tex] = \frac{(17 \times 6) - (19 \times 3) + (10 \times 8)}{8 \times 3} [/tex]
[tex] = \frac{102 - 57 + 80}{24} [/tex]
[tex] = \frac{182 - 57}{24} [/tex]
[tex] = \frac{125}{24} [/tex]
[tex] = 5 \frac{5}{24} [/tex]
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Answers & Comments
Answer:
[tex]a) \frac{5}{4} + \frac{3}{8} - \frac{1}{7} [/tex]
LCM (4, 8, 7) = 8 x 7
[tex] = \frac{(5 \times 14) + (3 \times 7) - (1 \times 8)}{8 \times 7} [/tex]
[tex] = \frac{70 + 21 - 8}{56} [/tex]
[tex] = \frac{91 - 8}{56} [/tex]
[tex] = \frac{83}{56} = 1 \frac{27}{56} [/tex]
[tex]b)10 - 3 \frac{1}{5} - 5 \frac{3}{10} [/tex]
[tex] = 10 - \frac{16}{5} - \frac{53}{10} [/tex]
LCM (5, 10) = 10
[tex] = \frac{(10 \times 10) - (16 \times 2) - 53}{10} [/tex]
[tex] = \frac{100 - 32 - 53}{10} [/tex]
[tex] = \frac{100 - 85}{10} [/tex]
[tex] = \frac{15}{10} = \frac{3}{2} = 1 \frac{1}{2} [/tex]
[tex]c) 4 \frac{1}{4}-2 \frac{3}{8}+ 3 \frac{1}{3} [/tex]
[tex] = \frac{17}{4} - \frac{19}{8} + \frac{10}{3} [/tex]
LCM (4, 8, 3) = 8 x 3
[tex] = \frac{(17 \times 6) - (19 \times 3) + (10 \times 8)}{8 \times 3} [/tex]
[tex] = \frac{102 - 57 + 80}{24} [/tex]
[tex] = \frac{182 - 57}{24} [/tex]
[tex] = \frac{125}{24} [/tex]
[tex] = 5 \frac{5}{24} [/tex]