The order of operations is: P-E-M-D-A-S
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
1). Parentheses: (1/8 ÷ 1/5) = (1/8 · 5/1) = 5/8
Multiplication: 5/8 · 7
2). Parentheses: (4/6 · 2) = 4/3
Exponents: 2³=8, 6²=36
What does it say now ? 8 ÷ 36 + 4/3 + 6
Division: 8 ÷ 36 = 4/18 = 2/9
What does it say now ? 2/9 + 4/3 + 6
3). Exponents: 9³ = 729, 3² = 9
What does it say now ? 729 · 5/8 ÷ 11 · 9
Rearrange it: (729 · 5/8 · 9) ÷ (11)
4). Parentheses: 3-6/8 + 4 = 30/8 + 32/8 = 62/8
the other one: 3/4 (· 8) = 6
What does it say now ? 62/8 x 6 ÷ 3
5). Exponents: 4³=64, 8²=64
Parentheses: (64 + 7-2/7) = 448/7 + 51/7 = 499/7
the other one: (64 + 3-4/9) = 576/9 x 31/9 = 1984/9
What does it say now ? 499/7 ÷ 1984/9 - 10
Division: 499/7 ÷ 1984/9 = 499/7 · 9/1984 = 0.32337... (rounded)
What does it say now ? 0.32337... - 10
6). Exponents: 6³ = 216
Parentheses: 9-3/4 - 6³ = 9-3/4 - 216 = 9.75 - 216 = -206.25
What does it say now ? -206.25 + 3-5/6 Can you finish it off ?
