Question

(6целых1/4-4целых1/8)×4+3целых1/3:2целых1/3

Answer 1

) 
1/12 + 1/6 = 1/12 + 2/12 = 3/12 = 1/4 
3/8 - 1/4 = 3/8 - 2/8 = 1/8 
1/4:1/8 = 8/4 = 2 
Ответ: 2 
2) 
7/9 - 2/3 = 7/9 - 6/9 = 1/9 
1/3 + 2/15 = 5/15 + 2/15 = 7/15 
1/9 : 7/15 = 15 / 63 = 5/21 
Ответ: 5/21 
3) 
5/7 - 2/3 = 15/21 - 14/21 = 1/21 
4/9 - 5/12 = 16/36 - 15/36 = 1/36 
1/21 : 1/36 = 36/21 = 12/7 
Ответ: 12/7 
4) 
1 - 7/10 = 10/10 - 7/10 = 3/10 
2 + 1/4 = 8/4 + 1/4 = 9/4 
3/10 * x = 9/4 
x = 9/4 : 3/10 = 90/12 = 15/2 = 7,5 
5) 
3 + 1/8 + 1 + 3/4 = 4 + 1/8 + 3/4 = 32/8 + 1/8 + 6/8 = 39/8 
2 + 1/6 = 12/6 + 1/6 = 13/6 
39/8 * x = 13/6 
x = 13/6 : 39/8 
x = (13*8) / (6*39) = 8 / (6*3) = 4/9

Answer 2

To solve the given expression, let's break it down step by step:

Step 1: Simplify the subtraction inside the parentheses: 6 and 4 can be written as 24/4 and 16/4 respectively. Therefore, 6 1/4 - 4 1/8 = 24/4 + 1/4 - 16/4 - 1/8 = (24 - 16)/4 + (1 - 1)/8 = 8/4 + 0/8 = 2 + 0 = 2.

Step 2: Simplify the division: 3 1/3 divided by 2 1/3 = (10/3) / (7/3) = (10/3) * (3/7) = (10 * 3) / (3 * 7) = 30/21 = 10/7.

Step 3: Perform the remaining calculations: (2) × 4 + (10/7) = 8 + 10/7.

Step 4: Convert the mixed number to an improper fraction: 8 can be written as 56/7.

Step 5: Add the fractions: 56/7 + 10/7 = (56 + 10)/7 = 66/7.

Therefore, the final result of the expression (6 1/4 - 4 1/8) × 4 + 3 1/3 ÷ 2 1/3 is 66/7.