find 4 rational numbers between 1/2and2/3 . 
    can we write it in decimal form like 0.512,0.54,0.5,0.5237.

Asked by pahiroy1221 | 28th Jul, 2015, 06:35: AM

Expert Answer:

C o n s i d e r space t h e space r a t i o n a l space n u m b e r s space 1 half space a n d space 2 over 3 L e a s t space c o m m o n space m u l t i p l e space o f space 2 space a n d space 3 space i s space 6. L e t space u s space w r i t e space t h e space m u l t i p l e s space o f space 6 6 comma 12 comma 18 comma 24 comma 48... N o w space c o n s i d e r space t h e space d e n o m i n a t o r space a s space 48 L e t space u s space w r i t e space t h e space e q u i v a l e n t space f r a c t i o n s space o f space 1 half space a n d space 2 over 3 space w i t h space d e n o m i n a t o r space a s space 48. 1 half equals fraction numerator 1 cross times 24 over denominator 2 cross times 24 end fraction equals 24 over 48 2 over 3 equals fraction numerator 2 cross times 16 over denominator 3 cross times 16 end fraction equals 32 over 48 T h u s comma space 24 over 48 less than 25 over 48 less than 26 over 48 less than 27 over 48 less than 28 over 48 less than 29 over 48 less than 30 over 48 less than 31 over 48 less than 32 over 48 T h e r e f o r e comma space t h e space r a t i o n a l space n u m b e r s space b e t w e e n space space a r e colon 25 over 48 comma 26 over 48 comma 27 over 48 comma 28 over 48 comma 29 over 48 comma 30 over 48 comma 31 over 48 Y o u r space a n s w e r space i s space a l s o space c o r r e c t. B u t space t h e space a b o v e space m e n t i o n e d space m e t h o d space i s space t h e space e a s i e r space m e t h o d.

Answered by Vimala Ramamurthy | 28th Jul, 2015, 09:28: AM

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