Question

3 12/13:(1 3/7+2 4/13) 1 8/17:(12/17+2 7/11) 3 1/2:(1 4/15+2 9/10) (2 1/16-1 1/14)*28

Answer 1

1
1 3/7+2 4/13=1 39/91+2 28/91=3 67/91
3 12/13:3 67/91=51/13*91/340=21/20=1 1/20
2
12/17+2 7/11=132/187+2 119/187=2 251/187=4 64/187
1 8/17:4 64/187=25/17*187/812=275/812
3
1 4/15+2 9/10=1 8/30+2 27/30=3 35/30=4 1/6
3 1/2:4 1/6=7/2*6/25=21/25
4
2 1/16-1 1/14=2 7/112-1 8/112=111/112
111/112*28=111/4=27 3/4

Answer 2

To solve the given expression, we need to follow the order of operations (also known as PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.

Let's break down the expression step by step:

1. Evaluate the expression inside the parentheses/brackets: 3 + 12/13 : (1 + 3/7 + 2 + 4/13) + 1 + 8/17 : (12/17 + 2 + 7/11) + 3 + 1/2 : (1 + 4/15 + 2 + 9/10) + (2 + 1/16 - 1 + 1/14) * 28

Inside the first set of parentheses, we have: 1 + 3/7 + 2 + 4/13 = 1 + 0.4286 + 2 + 0.3077 = 3.7363

Inside the second set of parentheses, we have: 12/17 + 2 + 7/11 = 0.7059 + 2 + 0.6364 = 3.3423

Inside the third set of parentheses, we have: 1 + 4/15 + 2 + 9/10 = 1 + 0.2667 + 2 + 0.9 = 4.1667

So the expression becomes: 3 + 12/13 : 3.7363 + 1 + 8/17 : 3.3423 + 3 + 1/2 : 4.1667 + (2 + 1/16 - 1 + 1/14) * 28

2. Evaluate the multiplications/divisions from left to right: 3 + 12/13 : 3.7363 + 1 + 8/17 : 3.3423 + 3 + 1/2 : 4.1667 + (2 + 1/16 - 1 + 1/14) * 28 = 3 + 0.9231 + 1 + 0.4706 + 3 + 0.5 : 4.1667 + (2 + 0.0625 - 1 + 0.0714) * 28 = 3 + 0.9231 + 1 + 0.4706 + 3 + 0.5 : 4.1667 + (1.1339) * 28 = 3 + 0.9231 + 1 + 0.4706 + 3 + 0.5 : 4.1667 + 31.7272 = 10.9167 : 35.8939

3. Evaluate the final division: 10.9167 : 35.8939 = 0.3041

Therefore, the answer to the given expression is approximately 0.3041.