Вопрос:

Сложите дроби: a) 7/10 + 1/10 = б) 7/12 + 1/4 = в) 1/5 + 2/15 = г) 5/6 + 1/9 = д) 2/9 + 1/12 = е) 7/24 + 1/60 = ж) 1/42 + 2/63 = з) 5/12 + 3/20 =

Ответ:

Решение:

a) 7/10 + 1/10 = (7+1)/10 = 8/10 = 4/5

б) 7/12 + 1/4 = 7/12 + (1*3)/(4*3) = 7/12 + 3/12 = (7+3)/12 = 10/12 = 5/6

в) 1/5 + 2/15 = (1*3)/(5*3) + 2/15 = 3/15 + 2/15 = (3+2)/15 = 5/15 = 1/3

г) 5/6 + 1/9 = (5*3)/(6*3) + (1*2)/(9*2) = 15/18 + 2/18 = (15+2)/18 = 17/18

д) 2/9 + 1/12 = (2*4)/(9*4) + (1*3)/(12*3) = 8/36 + 3/36 = (8+3)/36 = 11/36

е) 7/24 + 1/60 = (7*5)/(24*5) + (1*2)/(60*2) = 35/120 + 2/120 = (35+2)/120 = 37/120

ж) 1/42 + 2/63 = (1*3)/(42*3) + (2*2)/(63*2) = 3/126 + 4/126 = (3+4)/126 = 7/126 = 1/18

з) 5/12 + 3/20 = (5*5)/(12*5) + (3*3)/(20*3) = 25/60 + 9/60 = (25+9)/60 = 34/60 = 17/30

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