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Question

Find answers to the following. Write and indicate how you solved them.
(i) Is 59 equal to45?
(ii) Is 916 equal to 59?
(iii) Is 45 equal to 1620?
(iv) Is 115 equal to 430?

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Solution

There are various methods by which we can compare ay two fractions ab and cd. We can check whether the one fraction is equivalent to the other or not by reducing a fraction. We can also use LCM method or we ca simple compare a×d with b×c.

(i) For 59 and 45,

5×5 and 4×9

25 and 36

Since, 25<36,

59<45

(ii) For 916 and 59

9×9 ad 5×16

81 and 80

Since, 81>80

916>59

(iii) For 45 and 1620,

The later fraction can be reduced to its lowest form,

1620=16÷420÷4=45

Thus the two fractions are equal, 45=1620

(iv) For 115 and 430.

The later fraction can be reduced to its lowest form,

430=4÷230÷2=215

Since, 215>115

430>115


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