Question

1.272727.... can be expressed in rational form as
(a) 14/99
(b) 14/11
(c) 11/14
(d) 99/14​

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

Answer:

1.272727.... can be expressed in rational form as $\frac{14}{11}$

So, option b is the correct answer.

Step-by-step explanation:

Here given digit is 1.272727....

Let,$x = 1.272727....(1)$

We are multiplying above equation by 100 on both sides,

$100x = 127.272727.....(2)$

Now we are Subtracting equation (1) from equation (2),

$100x - x = 127.272727 - 1.272727 \\ 99x = 126 \\ x = \frac{126}{99} \\ x = \frac{14}{11}$

So,it can be written as a rational number i.e

$\frac{14}{11}$

Therefore we can say $1.272727 = \frac{14}{11}$

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

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