Express the following ratio in its simplest form.
$26 m i n : 40 s e c$

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Solution

Expressing the given ratio in the simplest form:
Changing minutes into seconds.
$\frac{26 m i n}{40 s e c} = \frac{26 \times 60 s e c}{40 s e c} = \frac{1560}{40} [1 m i n = 60 s e c]$
Dividing antecedent and consequent by their HCF $40$ .
$\frac{1560 \div 40}{40 \div 40} = \frac{39}{1} o r 39 : 1$
Hence, the simplest form of $26 m i n : 40 s e c$ is $39 : 1$

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