Explanation

Given A:B = 3:4 and B:C = 12:13.

First, make the ratios for B consistent:

A:B = 3:4 = 9:12 (multiplied by 3)

Now, B:C = 12:13

A:B:C = 9:12:13

A:C = 9:13

Last verified on 17-06-2026

Explanation

Shaded portion = 4 out of 12 = 4/12 = 1/3 of the circle.

Total students = 2400  

Freshman students = 2400 × (4/12)  

= 2400 × (1/3)  

= 800

The freshman class has 800 students.

Last verified on 26-05-2026

Explanation

To get a:c, multiply the two ratios together so the b cancels out.

a:c = (a/b) × (b/c) = 12/13 × 8/9 = 96/117.

96 and 117 can both be divided by 3, which gives 32/39.

So a:c = 32:39.

Last verified on 25-05-2026

Explanation

If a/b = 11/12 and b/c = 7/8, then to get a/c you can multiply them together.

a/c = (a/b) × (b/c) = 11/12 × 7/8  

When you multiply, the b cancels out:

a/c = 77/96  

So a:c = 77:96.

Last verified on 25-05-2026

Explanation

a/b = 10/11 and b/c = 6/7  

Multiply them to get a/c:

a/c = (a/b) × (b/c) = (10/11) × (6/7) = 60/77

So a:c = 60:77

Last verified on 24-05-2026