Express 1-66666- in pq form-

The correct option is A 53 Let x=1.6666..... 10x=16.66666... 10x x=15 9x=15 x= 15 9 = 5 3 So correct answer will be option C ...

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Standard IX

Mathematics

Expressing Decimals as Rational Numbers

Express 1.6...

Question

Express $1.66666.....$ in $\frac{p}{q}$ form:

\frac{4}{3}

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\frac{5}{4}

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\frac{5}{3}

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\frac{2}{3}

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Solution

The correct option is A $\frac{5}{3}$
$L e t x = 1.6666..... 10 x = 16.66666... 10 x - x = 15 9 x = 15 x = \frac{15}{9} = \frac{5}{3}$
So correct answer will be option C

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Express 1.66666..... in pq form:

The correct option is A 53Letx=1.6666.....10x=16.66666...10x−x=159x=15x=159=53So correct answer will be option C

Express $1.66666.....$ in $\frac{p}{q}$ form:

The correct option is A $\frac{5}{3}$
$L e t x = 1.6666..... 10 x = 16.66666... 10 x - x = 15 9 x = 15 x = \frac{15}{9} = \frac{5}{3}$
So correct answer will be option C