Question

If 2.03=2.030303…expressed in the form p/q, where p and q are Integers and q≠0, then p+q= ?​

Answer 1

Answer:

Let p/q=x= 2.030303 (equation i)

now, since  two digits are repeating , so, multiply by 100 on both sides

therefore,

100x= 203.0303

or, 100x= 201 + 2.0303

or, 100x = 201 +x ( from equation i)

or 100x - x = 201

or, 99x = 201

or, x = 201/99

or, x = 67/33

or, p/q= 67/33 ( since x = p/q from equation i)

therefore, p =67 and q= 33

now, p + q = 67 + 33 = 100

Step-by-step explanation:

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