Arey ji, it's a little like watching the train come around the same bend each morning — you know its rhythm. For 0.3178 with '178' repeating, let the number be 'x'. You multiply by 1000 because three digits are dancing in a circle, so 1000x = 317.8178178... Now subtract x from it: 999x = 317.5. Then x = 317.5/999, which becomes 3175/9990, and you can simplify.
My mother at the tea-stall, she counts the same coins each evening, but sometimes a note hides between them — the trick is seeing the whole pattern, not just the first number you see.
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