5. Приведите дроби к наименьшему общему знаменателю и найдите их сумму: 1) 7/18 + 2/9; 2) 14/33 + 11/18; 3) 5/24 + 9/16; 4) 13/48 + 7/30; 5) 11/27 + 13/24; 6) 7/36 + 17/54.

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Accepted Answer

НОЗ(18, 9) = 18: \(\frac{7}{18}+\frac{2}{9}=\frac{7}{18}+\frac{4}{18}=\frac{11}{18}\).
НОЗ(33, 18) = 198: \(\frac{14}{33}+\frac{11}{18}=\frac{84}{198}+\frac{121}{198}=\frac{205}{198}=1\frac{7}{198}\).
НОЗ(24, 16) = 48: \(\frac{5}{24}+\frac{9}{16}=\frac{10}{48}+\frac{27}{48}=\frac{37}{48}\).
НОЗ(48, 30) = 240: \(\frac{13}{48}+\frac{7}{30}=\frac{65}{240}+\frac{56}{240}=\frac{121}{240}\).
НОЗ(27, 24) = 216: \(\frac{11}{27}+\frac{13}{24}=\frac{88}{216}+\frac{117}{216}=\frac{205}{216}\).
НОЗ(36, 54) = 108: \(\frac{7}{36}+\frac{17}{54}=\frac{21}{108}+\frac{34}{108}=\frac{55}{108}\).

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