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Find 11 rational number between 11 / 22 and 17/22(by division method) |
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Answer» ong>Answer: FIRST method to find rational number between two numbers: Since we have to find 5 rational numbers between 3/5 and 4/5, so we will MUTIPLY the numerator and denominator of the given numbers by 5+1, i.e. equal to 6. We get, 3 5 = 3 × 6 5 × 6 = 18 30 and 4 5 = 4 × 6 5 × 6 = 24 30 Now, we have to find 5 rational numbers between 18/30 and 24/30, which will COME as ( 19 30 ) , ( 20 30 ) , ( 21 30 ) , ( 22 30 ) , ( 23 30 ) = ( 19 3 ) , ( 2 × 10 3 × 10 ) , ( 7 × 3 10 × 3 ) , ( 11 × 2 15 × 2 ) , ( 23 30 ) = ( 19 30 ) , ( 2 3 ) , ( 7 10 ) , ( 11 15 ) and ( 23 30 )
Thus, five rational numbers between 3/5 and 4/5 are = ( 19 30 ) , ( 2 3 ) , ( 7 10 ) , ( 11 15 ) and ( 23 30 ) |
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