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

May 4, 2026Mathematics

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Answer

\text{16:15}

3 steps

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 $\frac{b}{c} = \frac{4}{5}$ .
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:
$\frac{a}{c} = \frac{4}{3} \times \frac{4}{5}$
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 $\boxed{\text{16:15}}$ .

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