Question

Решите пропорции : 6 1/2:х=6 5/6:4,1 ; х:1 3/7=1 1/5:1 1/3 ; 3 1/2:0,4=х:1 1/7 ; 15,6:2,88=2,6:х ; 10,4:3 5/7=х:5/11. помогите ,пожалуйста, я просто пропустила тему теперь не знаю как решать.

Answer 1

6 1/2:х=6 5/6:4,1 ;
6 5/6 * x = 6 1/2 * 4,1
41/6x = 13/2 * 41/10
41/6x = 533/20
x = 533/20 * 6/41
x = 39/10=3,9


х:1 3/7=1 1/5:1 1/3 ;
1 1/3 * x = 1 3/7 * 1 1/5
4/3x = 10/7 * 6/5
4/3x = 12/7
x = 12/7 * 3/4
x = 9/7 = 1 2/7


3 1/2:0,4=х:1 1/7 ;
0,4 * x = 3 1/2 * 1 1/7
2/5x = 7/2 * 8/7
2/5x = 4
x = 4 * 5/2
x = 10


15,6:2,88=2,6:х ;
15,6 * x = 2,88 * 2,6
15,6x = 7,488
x= 7,488:15,6
x=0,48


10,4:3 5/7=х:5/11
3 5/7 * x = 10,4 * 5/11
26/7x = 52/5 * 5/11
26/7x = 52/11
x = 52/11 * 7/26
x = 14/11 = 1 3/11

Answer 2

Solving Proportions:

Let's solve the given proportions step by step.

1. 6 1/2 : x = 6 5/6 : 4,1: - To solve for x, we can use the formula: a/b = c/d, then a * d = b * c. - Applying this formula to the given proportion, we get: 6.5 * 4.1 = 6.8333. - Therefore, x = 6.8333.

2. x : 1 3/7 = 1 1/5 : 1 1/3: - Using the same formula, a/b = c/d, then a * d = b * c. - Applying this formula to the given proportion, we get: x * 4/7 = 8/3. - Therefore, x = 8/3 * 7/4 = 14/3 = 4.6667.

3. 3 1/2 : 0,4 = x : 1 1/7: - Using the same formula, a/b = c/d, then a * d = b * c. - Applying this formula to the given proportion, we get: 3.5 * 1.1 = 0.4 * x. - Therefore, x = (3.5 * 1.1) / 0.4 = 9.625.

4. 15,6 : 2,88 = 2,6 : x: - Using the same formula, a/b = c/d, then a * d = b * c. - Applying this formula to the given proportion, we get: 15.6 * x = 2.6 * 2.88. - Therefore, x = (2.6 * 2.88) / 15.6 = 0.48.

5. 10,4 : 3 5/7 = x : 5/11: - Using the same formula, a/b = c/d, then a * d = b * c. - Applying this formula to the given proportion, we get: 10.4 * 11/22 = x * 22/8. - Therefore, x = (10.4 * 11/22) / (22/8) = 4.7.

I hope this helps! If you have any more questions or need further assistance, feel free to ask.