Question

Compare the ratio: 2/5 and 3/4
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Answer 1

Answer:

$Solution :</p><p></p><p>(a) By converting to decimal: \\ </p><p>2:3=23=0.6¯2:3=23=0.6¯ \\ </p><p>4:5=45=0.84:5=45=0.8 \\ </p><p>As 0.6¯<0.8,2.:3<4:5.As 0.6¯<0.8,2.:3<4:5. \\ </p><p>(b) By \: converting \: to \: fractions: \\ </p><p>Ratios \: can \: be \: compared \: by \: converting \: them \: to like fractions. \\ </p><p>2:3=23=2(5)3(5)=10152:3=23=2(5)3(5)=1015 \\ </p><p>4:5=45=4(3)5(3)=12154:5=45=4(3)5(3)=1215 \\ </p><p>As 1015<1215,2:3<4:5. \\ </p><p></p><p>$

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Answer 2

Answer:

Express the given ratios as fraction

4 : 5 = 4/5 and 2 : 3 =2/3

Now find the L.C.M (least common multiple) of 5 and 3

The L.C.M (least common multiple) of 5 and 3 is 15.

Making the denominator of each fraction equal to 15, we have

4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15

Clearly, 12 > 10

Now, 12/15 > 10/15

Therefore, 4 : 5 > 2 : 3.