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when the repeating decimal 10.363636....is written in simplest fractional from p by q find the value of p+q |
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Answer» Answer: 125 Step-by-step EXPLANATION: let's take x = 10.363636.... (1) and 100x = 1036.363636.... (2) now SUBTRACT 100x and x 100x = 1036.36.36... x = 10.36363.... ------------------------------- 99x = 1026 -------------------------------- ⇒ 99x = 1026 x = 1026/99 = 114/11 (after simplifying) now p = 114 and q = 11 therefore p+q = 114 + 11 = 125 ........... |
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