![\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Explanation :-}}}}}}](https://img.qammunity.org/2023/formulas/mathematics/college/clgaj4rux4dr2p37ivzt3l25ua5tnhm3ro.png)
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.
![\rule{300pt}{3pt}](https://img.qammunity.org/2023/formulas/mathematics/high-school/yfabm60911jc7d0u9tq1rmxdx7w69fzply.png)
![\large \sf \: 5 : 8 = (5)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/5vn9crhi4j1ao1qid2t8yj5ac10e76m40l.png)
![\sf \: (5)/(8) * (2)/(2) = (10)/(16) \\ \tt (5)/(8) = (10)/(16)](https://img.qammunity.org/2023/formulas/mathematics/college/ol98rj1r39rz4mn4719kt1mcq8kaxa68gc.png)
First equivalent ratio is 10:16
![\rule{300pt}{3pt}](https://img.qammunity.org/2023/formulas/mathematics/high-school/yfabm60911jc7d0u9tq1rmxdx7w69fzply.png)
![\sf (5)/(8) * (4)/(4) = (20)/(32) \\ \tt \: (5)/(8) = (20)/(32)](https://img.qammunity.org/2023/formulas/mathematics/college/iqx23dbjyqksbcjdzr3x7hpwvgfkpussmq.png)
Second equivalent ratio is 20:32
![\rule{300pt}{3pt}](https://img.qammunity.org/2023/formulas/mathematics/high-school/yfabm60911jc7d0u9tq1rmxdx7w69fzply.png)
![\sf \: (5)/(8) * (5)/(5) = (25)/(40) \\ \tt \: (5)/(8) = (25)/(40)](https://img.qammunity.org/2023/formulas/mathematics/college/r3pyteii33rtpd3flh2w6o5q8mtxl56nf0.png)
Third equivalent ratio is 25:40.