If 1-666666 - is a rational number and can be expressed in p - q form- then p - q isA- The given number has a non- terminating non recurring decimal expansion and cannot be represented as p - qB- 6C- 7D- 8

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Natural Numbers

If 1.666666 …...

Question

If 1.666666...... is a rational number and can be expressed in $\frac{p}{q}$ form, then p + q is

The given number has a non- terminating non recurring decimal expansion and cannot be represented as p/q

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Solution

The correct option is D
8

Let 'x' = 1.6666...

Then 10 'x' = 16.666666,
It can also be written as

10x = 15 + x,
9x = 15

Hence x = $\frac{5}{3}$
So,p and q are 5 and 3 respectively.

Therefore p + q = 8

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If 1.666666...... is a rational number and can be expressed in pq form, then p + q is

The correct option is D 8 Let 'x' = 1.6666... Then 10 'x' = 16.666666, It can also be written as 10x = 15 + x, 9x = 15 Hence x = 53 So,p and q are 5 and 3 respectively. Therefore p + q = 8

If 1.666666...... is a rational number and can be expressed in $\frac{p}{q}$ form, then p + q is

The correct option is D
8

Let 'x' = 1.6666...

Then 10 'x' = 16.666666,
It can also be written as

10x = 15 + x,
9x = 15

Hence x = $\frac{5}{3}$
So,p and q are 5 and 3 respectively.

Therefore p + q = 8