а) 1 целая 1/49 = (1·49+1)/49 = 50/49
1 1/49 : 25/42 = 50/49 · 42/25 = (2·6)/(7·1) = 12/7 = 1 целая 5/7;
б) 6 целых 6/7 = (6·7+6)/7 = 48/7
7/48 : 6 6/7 = 7/48 : 48/7 = 7/48 · 7/48 = 49/2304;
в) 5 целых 7/13 = (5·13+7)/13 = 72/13
5 7/13 : 4/39 = 72/13 · 39/4 = (18·3)/(1·1) = 54;
г) 4 целых 3/8 = (4·8+3)/8 = 35/8
5 целых 1/4 = (5·4+1)/4 = 21/4
4 3/8 : 5 1/4 = 35/8 : 21/4 = 35/8 · 4/21 = (5·1)/(2·3) = 5/6;
д) 10 целых 3/5 = (10·5+3)/5 = 53/5
1 целая 23/30 = (1·30+23)/30 = 53/30
10 3/5 : 1 23/30 = 53/5 : 53/30 = 53/5 · 30/53 = 30/5 = 6;
е) 1 целая 7/25 = (1·25+7)/25 = 32/25
2 целых 6/25 = (2·25+6)/25 = 56/25
1 7/25 : 2 6/25 = 32/25 : 56/25 = 32/25 · 25/56 = 32/56 = 4/7.
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
а) 1 целая 1/49 = (1·49+1)/49 = 50/49
1 1/49 : 25/42 = 50/49 · 42/25 = (2·6)/(7·1) = 12/7 = 1 целая 5/7;
б) 6 целых 6/7 = (6·7+6)/7 = 48/7
7/48 : 6 6/7 = 7/48 : 48/7 = 7/48 · 7/48 = 49/2304;
в) 5 целых 7/13 = (5·13+7)/13 = 72/13
5 7/13 : 4/39 = 72/13 · 39/4 = (18·3)/(1·1) = 54;
г) 4 целых 3/8 = (4·8+3)/8 = 35/8
5 целых 1/4 = (5·4+1)/4 = 21/4
4 3/8 : 5 1/4 = 35/8 : 21/4 = 35/8 · 4/21 = (5·1)/(2·3) = 5/6;
д) 10 целых 3/5 = (10·5+3)/5 = 53/5
1 целая 23/30 = (1·30+23)/30 = 53/30
10 3/5 : 1 23/30 = 53/5 : 53/30 = 53/5 · 30/53 = 30/5 = 6;
е) 1 целая 7/25 = (1·25+7)/25 = 32/25
2 целых 6/25 = (2·25+6)/25 = 56/25
1 7/25 : 2 6/25 = 32/25 : 56/25 = 32/25 · 25/56 = 32/56 = 4/7.