Question

The ratio a : b = 2: 3 and the ratio a: c=3: 4. What is the ratio b : c?

Answer 1

Ответ:

ответ: 9:8

Пошаговое объяснение:

$\frac{a}{b} = \frac{2}{3} \: \: \: \: \: \: \: \: \: \: b = \frac{3a}{2} \\ \frac{a}{c} = \frac{3}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: c = \frac{4a}{3} \\ \frac{b}{c} = \frac{ \frac{3a}{2} }{ \frac{4a}{3} } = \frac{9}{8}$

Answer 2

everything is on the photo)))))

Answer 3

To find the ratio between b and c, we need to use the given ratios between a and b, and a and c.

Given: Ratio of a:b = 2:3 Ratio of a:c = 3:4

To find the ratio of b:c, we need to have a common term in both ratios. We can do this by finding the least common multiple (LCM) of the denominators, which in this case is 3 and 4. The LCM of 3 and 4 is 12.

Now, let's convert the ratios to have a common denominator of 12:

Ratio of a:b = (2/3) * (4/4) = 8/12 Ratio of a:c = (3/4) * (3/3) = 9/12

Now we have the ratios:

Ratio of a:b = 8:12 Ratio of a:c = 9:12

To find the ratio of b:c, we can divide the ratio of a:b by the ratio of a:c:

Ratio of b:c = (8/12) / (9/12) = 8/12 * 12/9 = 8/9

Therefore, the ratio of b:c is 8:9.