मराठी

Express the following in the form pq, where p and q are integers and q ≠ 0: 5.2¯ - Mathematics

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प्रश्न

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

`5.bar2`

बेरीज

उत्तर

Let `x = 5.bar2 = 5.222`...   ...(i)

On multiplying both sides of equation (i) by 10, we get

10x = 52.222..........    ...(ii)

On subtracting equation (i) from equation (ii), we get

10x – x = (52.222...) – (5.222...)

⇒ 9x = 47

∴ `x = 47/9`

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पाठ 1: Number Systems - Exercise 1.3 [पृष्ठ १०]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
पाठ 1 Number Systems
Exercise 1.3 | Q 7. (iii) | पृष्ठ १०

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