Question

Задание-3.58 Найдите неизвестный член пропорции:б) 3 целых 1/3 : s = 4 целых 2/3 : 1 целых 1/6в) y : 2/3 = 8 целых 1/6 : 2 целых 1/3​ПЖ РЕШИТЕ, СРОЧНО!!!

Answer 1

Прикрепил два фото

Пошаговое объяснение:

При делений мы должны перевернув вторую дробь,изменить знак на умножение

Далее сокращаем

Answer 2

Ответ:

Пошаговое объяснение:

Б)

3. 1/3 : s = 4. 2/3 : 1. 1/6

s * 4. 2/3 = 3. 1/3 * 1. 1/6

4. 2/3s = 10/3 * 7/6

14/3s = 70/18

s = 70/18 : 14/3

s = 70/18 * 3/14

s = 5/6 * 1/1

s = 5/6

В)

у : 2. 2/3 = 8. 1/6 : 2. 1/3

у * 2. 1/3 = 2. 2/3 * 8. 1/6

2. 1/3у = 8/3 * 49/6

7/3у = 4/3 * 49/3

7/3у = 196/9

у = 196/9 : 7/3

у = 196/9 * 3/7

у = 28/3 * 1/1

у = 28/3

у = 9. 1/3

Answer 3

Unknown term in a proportion: b) 3 and 1/3 : s = 4 and 2/3 : 1 and 1/6

To find the unknown term in the proportion, we can set up a cross-multiplication equation. Let's solve it step by step:

1. Write the given proportion: 3 and 1/3 : s = 4 and 2/3 : 1 and 1/6

2. Convert the mixed numbers to improper fractions: 10/3 : s = 14/3 : 7/6

3. Cross-multiply: (10/3) * (7/6) = (14/3) * s

Simplifying the left side: (10 * 7) / (3 * 6) = (14/3) * s

70/18 = (14/3) * s

4. Solve for s: To isolate s, we can multiply both sides of the equation by the reciprocal of (14/3), which is (3/14):

(70/18) * (3/14) = s

Simplifying the left side: (70 * 3) / (18 * 14) = s

210/252 = s

Simplifying the fraction: 5/6 = s

Therefore, the unknown term in the proportion is s = 5/6.

Unknown term in a proportion: y : 2/3 = 8 and 1/6 : 2 and 1/3

Let's solve this proportion step by step:

1. Write the given proportion: y : 2/3 = 8 and 1/6 : 2 and 1/3

2. Convert the mixed numbers to improper fractions: y : 2/3 = 49/6 : 7/3

3. Cross-multiply: (y) * (7/3) = (49/6) * (2/3)

Simplifying the right side: (y) * (7/3) = (49/9)

4. Solve for y: To isolate y, we can multiply both sides of the equation by the reciprocal of (7/3), which is (3/7):

(y) * (7/3) * (3/7) = (49/9) * (3/7)

Simplifying both sides: (y) = (147/63)

Simplifying the fraction: (y) = (7/3)

Therefore, the unknown term in the proportion is y = 7/3.

I hope this helps! Let me know if you have any further questions.