Given that a:b=4:3 and b:c=4:5 find the ratio a:c

Step 1: Express the given ratios as fractions. We are given $a:b = 4:3$, which can be written as $\frac{a}{b} = \frac{4}{3}$. We are also given $b:c = 4:5$, which can be written as $\frac{b}{c} = \frac{4}{5}$.

Step 2: To find the ratio $a:c$, we can multiply the two fractions. $\frac{a}{c} = \frac{a}{b} \times \frac{b}{c}$ Substitute the fractional values: $\frac{a}{c} = \frac{4}{3} \times \frac{4}{5}$

Step 3: Perform the multiplication. $\frac{a}{c} = \frac{4 \times 4}{3 \times 5}$ $\frac{a}{c} = \frac{16}{15}$ Therefore, the ratio $a:c$ is $16:15$.

The ratio $a:c$ is $\boxed{16:15}$.