Question

а) 1/4 - (1 - 11/12) б) 2-(13\33-5\22) в) 6 3\16-(2 3\8+3 5\12) г) 8 1\12 - 3 4\15-1 7\30 д) (13-8 5\12) + (17 1\2-16 1\5) е) (63 2\3+3 1\8)-(13-10 5\9)

Answer 1

А)1-11/12=12/12-11/12=1/12 1/4-1/12=3/12-1/12=2/12=1/6 б)13/33-5/22=26/66-15/66=11/66=1/6 2-1/6=1 6/6-1/6=1 5/6 в)

Answer 2

Let's simplify each expression step by step:

a) 1/4 - (1 - 11/12) = 1/4 - (12/12 - 11/12) (Finding a common denominator for subtraction) = 1/4 - 1/12 = 3/12 - 1/12 = 2/12 = 1/6

b) 2 - (13/33 - 5/22) = 2 - (2/6 - 3/6) (Finding a common denominator for subtraction) = 2 - (-1/6) = 2 + 1/6 = 12/6 + 1/6 = 13/6

c) 6 3/16 - (2 3/8 + 3 5/12) = 6 3/16 - (19/8 + 47/12) (Converting mixed numbers to improper fractions) = 99/16 - (228/24 + 188/24) (Finding a common denominator for addition) = 99/16 - 416/24 = 594/96 - 416/24 = (594 - 416)/96 = 178/96 = 89/48

d) 8 1/12 - 3 4/15 - 1 7/30 = 97/12 - 49/15 - 37/30 (Converting mixed numbers to improper fractions) = (975 - 784 - 444)/60 (Finding a common denominator for subtraction) = -253/60

e) (13 - 8 5/12) + (17 1/2 - 16 1/5) = (13 - 101/12) + (35/2 - 81/5) (Converting mixed numbers to improper fractions) = (156/12 - 101/12) + (175/10 - 81/5) (Finding a common denominator for subtraction) = (55/12) + (175/10 - 162/10) = 55/12 + 13/10 = (55/12) + (39/30) (Finding a common denominator for addition) = (275/60) + (78/60) = 353/60

The simplified expressions are: a) 1/6 b) 13/6 c) 89/48 d) -253/60 e) 353/60