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Question

Write the ratios in ascending order:

2:3,3:7,5:6,11:14.


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Solution

Change the ratio into rational numbers

23'37,56,1114FindtheL.C.M.forthedenominatorL.C.M.of3,7,6,14is42Multiplythecorrectfactorwithdenominatortogeta42similarlymuliplythesamenumberwithnumerator2×143×14=2842[ifmultiplythe14withdenominatorwegot42]3×67×6=1842[7×6=42]5×76×7=3542[6×7=42]11×314×3=33421842<2842<3342<354237<23<1114<563:7,2:3,11:14,5:6

Hence, the ascending order for the given ratio is 3:7,2:3,11:14,5:6.


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