Question

10:(2 12/17+1 5/17)-(3 4/5+1 3/5):6

Answer 1

10 ÷ (2 12/17 + 1 5/17) - (3 4/5 + 1 3/5) ÷ 6 =1 3/5 = 1.6
2 12/17  +  1 5/17 = 46/17  +  22/17 = (46  +  22)/17 =  68/17 = 4
10  ÷  4 = 10  ×  1/4 =  5/2 = 2 1/2
3 4/5  +  1 3/5 = 19/5  +  8/5 = (19  +  8)/5 =  27/5 = 5 2/5
5 2/5  ÷  6 = 27/5  ÷  6 = 27/5  ×  1/6 =  9/10
2 1/2  -  9/10 = 5/2  -  9/10 = 25/10  -  9/10 =  16/10 = 8/5 = 1 3/5
1 3/5 = 1.6

Answer 2

10:4-5 2/5:6=2.5-0.9=1.6

Answer 3

To solve the expression 10:(2 12/17+1 5/17)-(3 4/5+1 3/5):6, we need to follow the order of operations (PEMDAS/BODMAS). Let's break it down step by step:

Step 1: Simplify the addition and subtraction inside parentheses. 2 12/17 + 1 5/17 = (2 + 1) + (12/17 + 5/17) = 3 + 17/17 = 3 + 1 = 4

3 4/5 + 1 3/5 = (3 + 1) + (4/5 + 3/5) = 4 + 7/5 = 4 + 1 2/5 = 5 2/5

Step 2: Perform the division first. 10:(4 - 5 2/5):6 = 10:(4 - 5 2/5):6 = 10:((-1 3/5):6) = 10:(-(8/5):6) = 10:(-8/30) = 10:(-4/15)

Step 3: Perform the division. 10:(-4/15) = 10 * (15/-4) = -150/4 = -37.5

So the expression 10:(2 12/17+1 5/17)-(3 4/5+1 3/5):6 evaluates to -37.5.