Express the following rational numbers in the form p/q , wher p and q are integers and q is not equal to 0 .
(i) 15.712 { Bar on 12 }
(ii) 32.1235 { Bar on 35 }
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1037/66
318023/9900
Step-by-step explanation:
Express the following rational numbers in the form p/q , wher p and q are integers and q is not equal to 0 .
(i) 15.712 { Bar on 12 }
(ii) 32.1235 { Bar on 35 }
x = 15.7121212...
10x = 157.121212...
1000x = 15712.12121212..
1000x - 10x = 15712.121212.. - 157.121212..
=> 900x = 15555
=> x = 15555/990
=> x = 3111/198
=> x = 1037/66
=> x = 1037/66
y = 32.1235 { Bar on 35 }
100y = 3212.35353535....
10000y = 321235.353535....
=> 9900y = 318023
=> y = 318023/9900
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