Question

5 3/4 : 4 1/8 = б : 3,3

Answer 1

3/4 = 75/100 = 0,75        1/8 = 125/1000 = 0,125
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5,75 : 4,125 = b : 3,3      это пропорция
5,75 * 3,3 = 4,125 * b      свойство пропорции
18,975 = 4,125 * b
b = 18,975 : 4,125
b = 4,6

Проверка: 5,75 : 4,125 = 4,6 : 3,3
                          1,(39) = 1,(39) 

Answer 2

5 3/4 : 4 1/8 = б : 3,3; 23/4 : 33/8 = б : 33/10; б = 23/4 * 33/10 : 33/8; б = 23/4 * 33/10 * 8/33; б = 46/10 = 4,6

Answer 3

To solve this proportion, let's convert the mixed numbers into improper fractions first:

5 3/4 = (4 * 5 + 3) / 4 = 23/4 4 1/8 = (8 * 4 + 1) / 8 = 33/8

Now, we can set up the proportion:

(23/4) / (33/8) = б / 3.3

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(23/4) * (8/33) = б / 3.3

Simplifying the left side of the equation:

(23 * 8) / (4 * 33) = б / 3.3

184 / 132 = б / 3.3

Now, let's solve for б by cross-multiplying:

132 * б = 184 * 3.3

132б = 607.2

Dividing both sides of the equation by 132:

б = 607.2 / 132

б ≈ 4.6

Therefore, the value of б is approximately 4.6 in the given proportion.