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Polynomials

Question
CBSEENMA9001486

Express 5. top enclose 347in the form straight p over straight q where p and q are integers and q ≠ 0.

Solution

Let space straight x space equals space 5. top enclose 347

⇒    x = 5.3474747......

⇒ 10x = 53.474747...... ...(1)

⇒ 1000x = 5347.474747...... ...(2)

Subtracting (1) from (2), we get
990x = 5294
rightwards double arrow space space straight x space 5294 over 990
rightwards double arrow space space space straight x space equals space 2647 over 495
rightwards double arrow space space space straight p space equals space 2647 comma space space space space straight q space equals space 495 space space left parenthesis not equal to 0 right parenthesis

Some More Questions From Polynomials Chapter

Find two rational numbers between 0.1 and 0.2.