Question

Раскройте скобки и найдите значение выражения: 2) 4/7-(5/11-3/7); 3) 3целых 5/7+(-5/6-1/7); 4) 3/8-(1/9-5/8); 5) 2целых 3/4-(1целая 1/4+5целых 1/2); 6) 6целых 5/8-(1целая 3/4-2целых 3/8)

Answer 1

2) 4/7-(5/11-3/7)=4/7-2/77=6/11
3)3×5/7+(-5/6-1/7)=15/7+(- 41/42)=7/6
4)3/8-(1/9-5/8)=3/8-+37/72=8/9
5)2×3/4-(1×1/4+5×1/2)=3/2-11/4=- 5/4= -1,25
6)6×5/8-(1×3/4-2×3/8)=3×5/4-(3/4-3/4)=15/4-0=15/4=3×3/4=3,75
Вроде так

Answer 2

4/7 - (5/11 - 3/7)

= 4/7 - (35/77 - 33/77) (finding a common denominator of 77 for the second term)

= 4/7 - 2/77

= (308/539) - (14/77)

= (30811 - 1449) / (539*7)

= 338/539

= 26/41

3 целых 5/7 + (-5/6 - 1/7)

= 3 + 5/7 - 5/6 - 1/7 (writing the mixed number as a whole number plus a fraction)

= 3 + (30/42 - 35/42 - 6/42) (finding a common denominator of 42)

= 3 - 11/42

= (126/42) - (11/42)

= 115/42

= 2 целых 31/42

3/8 - (1/9 - 5/8)

= 3/8 - (8/72 - 45/72) (finding a common denominator of 72 for the second term)

= 3/8 - 37/72

= (27/72) - (37/72)

= -10/72

= -5/36

2 целых 3/4 - (1 целая 1/4 + 5 целых 1/2)

= 2 - 1 - 5 - 1/4 - 5/2 (writing the mixed numbers as whole numbers plus fractions)

= -4 - 3/4

= -4 целых 3/4

6 целых 5/8 - (1 целая 3/4 - 2 целых 3/8)

= 6 - 1 + 2 - 5/8 + 3/8 (writing the mixed numbers as whole numbers plus fractions)

= 7 - 1/2

= 6 целых 1/2