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Mathematics

Grade6

Easy

Question

Write the ratios 5:8, 4:5 and 1:4 in descending order.

10:40, 25:40 and 32:40
32:40, 25:40 and 10:40
4:5, 5:8, 1:4
1:4, 4:5 and 5:8

hint Hint:

For comparing ratios, find out the lcm of denominator and make them equal, then compare the numerators.

The correct answer is: 4:5, 5:8, 1:4

$F o r space c o m p a r i n g space r a t i o s comma space f i n d space o u t space t h e space l c m space o f space d e n o m i n a t o r space a n d space m a k e space t h e m space e q u a l comma space t h e n space c o m p a r e space t h e space n u m e r a t o r s. 5 over 8 comma space 4 over 5 space a n d space 1 fourth L C M space o f space 8 comma 5 comma 4 space equals space 40 fraction numerator 5 cross times 5 over denominator 8 cross times 5 end fraction equals space 25 over 40 comma space fraction numerator 4 cross times 8 over denominator 5 cross times 8 end fraction equals space 32 over 40 space a n d space fraction numerator 1 cross times 10 over denominator 4 cross times 10 end fraction equals space 10 over 40 H e r e space comma space 32 greater than 25 greater than 10 32 over 40 greater than 25 over 40 greater than 10 over 40 T h u s comma space 4 colon 5 space greater than space 5 colon 8 greater than 1 colon 4$
For comparing ratios, find out the lcm of denominator and make them equal, then compare the numerators.

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