10 1/6+ 2 3/21• 14/47 -3,2= 7 853/1410.
1)) 2 3/21• 14/47=
(2•21+3)/21• 14/47= 45/21• 14/47=
Сокращаем 21 и 14 на 7
45/3• 2/47=
Сокращаем на 45/3 на 3
15/1• 2/47= 30/47
2)) 10 1/6+ 30/47=
10 (1•47)/(6•47)+ (30•6)/(47•6)=
10 47/282+ 180/282=
10 227/282
3)) 10 227/282- 3,2=
10 227/282- 3 2/10=
10 (227•10)/(282•10) - 3 (2•282)/(10•282)=
10 2270/2820 - 3 564/2820=
7 1706/2820=
Сокращаем на 2;
7 853/1410.
Или так можно
10 1/6+ 2 3/21• 14/47 -3,2= 7 853/1410.
1)) 2 3/21• 14/47=
(2•21+3)/21• 14/47= 45/21• 14/47=
Сокращаем 21 и 14 на 7
45/3• 2/47=
Сокращаем на 45/3 на 3
15/1• 2/47= 30/47
2)) 10 1/6- 3,2= 10 1/6- 3 2/10=
10 1/6- 3 1/5=
10 (1•5)/(6•5)- 3 (1•6)/(5•6)=
10 5/30- 3 6/30=
9 (30•1+5)/30- 3 6/30=
9 35/30- 3 6/30=
6 29/30
3)) 6 29/30+ 30/47=
6 (29•47)/(30•47)+ (30•30)/(47•30)=
6 1363/1410+ 900/1410=
6 2263/1410=
7 853/1410