If a:b = 3 : 2 and b : c = 2 : 5, find a : c.

Explanation

To find the ratio \( a : c \) given the ratios \( a : b = 3 : 2 \) and \( b : c = 2 : 5 \), we can follow these steps:

### Step 1: Write the given ratios in fractional form
From the problem, we have:
- \( a : b = 3 : 2 \) which can be written as \( \frac{a}{b} = \frac{3}{2} \)
- \( b : c = 2 : 5 \) which can be written as \( \frac{b}{c} = \frac{2}{5} \)

### Step 2: Express \( a \) in terms of \( b \)
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