The number 1-27 in the form p-q- where p and q are integers and q - 0- is 14-914-1114-1314-15

The correct option is B 14/11 Let x = 1.27 = 1.272727...... 100x = 127.272727..... Subtracting, 99x = 126 ⇒ x = 126/99 = 14/11 ...

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Expressing Decimals as Rational Numbers

The number 1....

Question

The number $1. ¯ ¯¯¯¯ ¯ 27$ in the form $\frac{p}{q}$ , where p and q are integers and q $\neq$ 0, is

$\frac{14}{9}$

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$\frac{14}{11}$

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$\frac{14}{13}$

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$\frac{14}{15}$

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Show that 1.272727...=1.27 can be expressed in the form of p/q,where p and q are integers and q≠0

p

q

p

q

\frac{4 + \sqrt{14}}{4 - \sqrt{14}} = p + q \sqrt{14}

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