Question

(6,3+3*(35 17/42-6 6/35))*(0,7-1/12)*6

Answer 1

6 : 3 + 3 * ( 35 17/42 - 4 6/25)) * ( 0,7 - 1/12) * 6=354 759/3500
1) 6:3=2
2) 35 17/42 - 4 6/25=35 425/1050-4 168/1050=31 257/1050
3) 3*31 257/1050=3*32807/1050=32807/350=93 257/350
4) 2+ 93 257/350=95 257/350=33507/350
5) 0,7-1/12=7/10-1/12=42/60-5/60=37/60
6) 37/60* 33507/350=1239759/21000
7) 1239759/21000*6=1239759/3500=354 759/3500

Answer 2

Let's break down the expression step by step:

Step 1: Evaluate the expression within parentheses. (35 17/42 - 6 6/35)

Step 2: Perform the arithmetic operations inside the parentheses. (35 + 17/42) - (6 + 6/35) To add the fractions, find a common denominator. The common denominator is 42. (35 * 42/42 + 17/42) - (6 * 35/35 + 6/35) (1470/42 + 17/42) - (210/35 + 6/35) (1487/42) - (216/35) To subtract the fractions, find a common denominator. The common denominator is 42. (1487/42) - (216 * 6/6 * 42/35) (1487/42) - (1296/35)

Step 3: Evaluate the expression within the first set of parentheses. (6, 3 + 3 * (35 17/42 - 6 6/35))

Step 4: Perform the arithmetic operations inside the first set of parentheses. (6, 3 + 3 * (1487/42 - 1296/35)) (6, 3 + 3 * (1487/42 - 1296/35)) (6, 3 + 3 * (2275/42))

Step 5: Evaluate the expression within the second set of parentheses. 2275/42

Step 6: Perform the multiplication and division operations outside the parentheses. (6, 3 + 3 * (2275/42)) * (0, 7 - 1/12) * 6 (6, 3 + 3 * (2275/42)) * (0, 7 - 1/12) * 6 (6, 3 + 3 * 54.166666667) * (0, 7 - 1/12) * 6

Step 7: Perform the addition and multiplication operations outside the parentheses. (6, 3 + 162.5) * (0, 7 - 1/12) * 6 (6, 165.5) * (0, 7 - 1/12) * 6 6 * 165.5 * (0, 7 - 1/12) * 6

Step 8: Perform the subtraction operation. 6 * 165.5 * (0.58333333333) * 6 6 * 165.5 * 0.58333333333 * 6

Step 9: Perform the multiplication operation. 6 * 165.5 * 0.58333333333 * 6 1815.83 * 6

Step 10: Perform the final multiplication operation. 1815.83 * 6 ≈ 10895

So, the final result of the expression is approximately 10895.