Question

Помогите пожалуйста решить)1.) 1 4/21 : 5/7 - 2/5 * 5/22.) (3 5/6-2 3/4):7/12+5 1/2

Answer 1

1) 1 4/21:5/7-2/5*5/2=4/3*1/5-1=4/15-1=-11/15
2)(3 5/6-2 3/4):7/12+5 1/2=1:7/12+5/2=12/7+5/2=59/14

Answer 2

Problem 1: 1 + 4/21 : 5/7 - 2/5 * 5/2

To solve this problem, we need to follow the order of operations (PEMDAS/BODMAS). Let's break it down step by step:

1. First, we need to perform the multiplication: 2/5 * 5/2 = 10/10 = 1. 2. Next, we perform the division: 4/21 : 5/7 = (4/21) * (7/5) = 28/105 = 4/15. 3. Finally, we perform the addition and subtraction: 1 + (4/15) - (5/7) = (1 * 105 + 4) / 15 - (5 * 15) / 7 = 109/15 - 75/7.

Let's calculate the final result:

109/15 - 75/7

To simplify the calculation, we can find a common denominator for the fractions:

109/15 - 75/7 = (109 * 7)/(15 * 7) - (75 * 15)/(7 * 15)
              = 763/105 - 1125/105
              = (763 - 1125)/105
              = -362/105

Therefore, the solution to the problem is -362/105.

Problem 2: (3 + 5/6 - 2 + 3/4) : 7/12 + 5 + 1/2

Let's solve this problem step by step:

1. First, we perform the addition and subtraction inside the parentheses: (3 + 5/6 - 2 + 3/4) = (18/6 + 5/6 - 12/6 + 9/4). 2. Next, we find a common denominator for the fractions: (18/6 + 5/6 - 12/6 + 9/4) = (18 + 5 - 12 + 27/4) / 6. 3. Then, we perform the addition and subtraction: (18 + 5 - 12 + 27/4) = (23 + 15/4) / 6. 4. Next, we perform the division: (23 + 15/4) / 6 = (23 * 4 + 15) / (4 * 6) = (92 + 15) / 24. 5. Finally, we perform the addition: (92 + 15) / 24 = 107 / 24.

Therefore, the solution to the problem is 107/24.

Please let me know if you need any further assistance!