Express 0.423 (bar on 3) in the form p/q , where p and q are coprime and q is not = 0.
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x = 0.4233333.....••••eq1
multiply by 100 on both sides
100x = 42.3333...••••••eq2
multiply by 1000 in eq1 on both sides
1000x = 423.33333.....•••••••eq3
eq3 – eq2
1000x – 100x = 423.33333 – 42.33333
900x = 381
x = 381/900 = 127/300
x = 127/300
0.4233333... in p/q = 127/300
hope it helps you....
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