[tex]\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Explanation :-}}}}}}[/tex]
The given ratio is 5:8, Write it as fraction then multiply the numerator and denominator with same number to get the fractions or ratios equivalent to the given one.
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[tex] \large \sf \: 5 : 8 = \frac{5}{8} [/tex]
[tex] \sf \: \frac{5}{8} \times \frac{2}{2} = \frac{10}{16} \\ \tt \frac{5}{8} = \frac{10}{16} [/tex]
First equivalent ratio is 10:16
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[tex] \sf \frac{5}{8} \times \frac{4}{4} = \frac{20}{32} \\ \tt \: \frac{5}{8} = \frac{20}{32} [/tex]
Second equivalent ratio is 20:32
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[tex] \sf \: \frac{5}{8} \times \frac{5}{5} = \frac{25}{40} \\ \tt \: \frac{5}{8} = \frac{25}{40} [/tex]
Third equivalent ratio is 25:40.