Let’s solve each problem one by one. We’ll simplify the complex fractions step by step.
---
67.
Numerator: 3/4
Denominator: 5/6
→ Divide: (3/4) ÷ (5/6) = (3/4) × (6/5) = (3×6)/(4×5) = 18/20 =
9/10
---
68.
Numerator: 5/8
Denominator: 5/12
→ (5/8) ÷ (5/12) = (5/8) × (12/5) = (5×12)/(8×5) = 60/40 =
3/2 or
1½
---
69.
Numerator: 15/16
Denominator: 5/6
→ (15/16) ÷ (5/6) = (15/16) × (6/5) = (15×6)/(16×5) = 90/80 =
9/8 or
1⅛
---
70.
Numerator: 21/4
Denominator: 4/7
→ (21/4) ÷ (4/7) = (21/4) × (7/4) = (21×7)/(4×4) = 147/16 =
9³⁄₁₆
---
71.
Numerator: 3 + 1/4 = 13/4
Denominator: 2/3
→ (13/4) ÷ (2/3) = (13/4) × (3/2) = 39/8 =
4⁷⁄₈
---
72.
Numerator: 4 + 1/2 = 9/2
Denominator: 3/5
→ (9/2) ÷ (3/5) = (9/2) × (5/3) = 45/6 =
15/2 or
7½
---
73.
Numerator: 5 - 3/4 = 20/4 - 3/4 = 17/4
Denominator: 5/6
→ (17/4) ÷ (5/6) = (17/4) × (6/5) = 102/20 =
51/10 or
5¹⁄₁₀
---
74.
Numerator: 4 - 3/5 = 20/5 - 3/5 = 17/5
Denominator: 7/10
→ (17/5) ÷ (7/10) = (17/5) × (10/7) = 170/35 =
34/7 or
4⁶⁄₇
---
75.
Numerator: 2/3 + 3/4 = 8/12 + 9/12 = 17/12
Denominator: 4 - 1/3 = 12/3 - 1/3 = 11/3
→ (17/12) ÷ (11/3) = (17/12) × (3/11) = 51/132 =
17/44
---
76.
Numerator: 5/6 + 2/3 = 5/6 + 4/6 = 9/6 = 3/2
Denominator: 3 - 1/2 = 6/2 - 1/2 = 5/2
→ (3/2) ÷ (5/2) = (3/2) × (2/5) = 6/10 =
3/5
---
77.
Numerator: 3/4 - 1/3 = 9/12 - 4/12 = 5/12
Denominator: 5/6 + 1/2 = 5/6 + 3/6 = 8/6 = 4/3
→ (5/12) ÷ (4/3) = (5/12) × (3/4) = 15/48 =
5/16
---
78.
Numerator: 2/3 + 1/6 = 4/6 + 1/6 = 5/6
Denominator: 3/4 - 5/8 = 6/8 - 5/8 = 1/8
→ (5/6) ÷ (1/8) = (5/6) × (8/1) = 40/6 =
20/3 or
6²⁄₃
---
79.
Numerator: 1½ - 2⅔ = 3/2 - 8/3 = 9/6 - 16/6 = -7/6
Denominator: 3¼ + 1⅙ = 13/4 + 7/6 = 39/12 + 14/12 = 53/12
→ (-7/6) ÷ (53/12) = (-7/6) × (12/53) = -84/318 =
-14/53
---
80.
Numerator: 1⅓ - 4½ = 4/3 - 9/2 = 8/6 - 27/6 = -19/6
Denominator: 2¼ + 3⅛ = 9/4 + 25/8 = 18/8 + 25/8 = 43/8
→ (-19/6) ÷ (43/8) = (-19/6) × (8/43) = -152/258 =
-76/129
---
81.
Numerator: 2⅙ + 4⅔ = 13/6 + 14/3 = 13/6 + 28/6 = 41/6
Denominator: 2⅓ - 5¾ = 7/3 - 23/4 = 28/12 - 69/12 = -41/12
→ (41/6) ÷ (-41/12) = (41/6) × (-12/41) = -492/246 =
-2
---
82.
Numerator: 1½ + 2⅔ = 3/2 + 8/3 = 9/6 + 16/6 = 25/6
Denominator: 1½ - 2⅓ = 3/2 - 7/3 = 9/6 - 14/6 = -5/6
→ (25/6) ÷ (-5/6) = (25/6) × (-6/5) = -150/30 =
-5
---
Final Answer:
67. 9/10
68. 3/2
69. 9/8
70. 147/16
71. 39/8
72. 15/2
73. 51/10
74. 34/7
75. 17/44
76. 3/5
77. 5/16
78. 20/3
79. -14/53
80. -76/129
81. -2
82. -5
Parent Tip: Review the logic above to help your child master the concept of compound fractions worksheet.
