Question

express 21.67 bar in p/q form​

Answer 1

Answer:

2146/99

Step-by-step explanation:

x=21.67bar------1

100x =2167.67bar-----2

2-1

=99x=2146

x=2146/99

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Answer 2

Answer:

$21. \bar{67}$ in $\frac{p}{q}$ form is $\frac{2146}{99}$

Step-by-step explanation:

Given,

$21. \bar{67}$

Let,$x = 21.676767.....(1)$

We are multiplying equation (1) both side by 100,

$100x = 2167.6767......(2)$

We are Subtracting equation (2) from equation (1) and get,

$99x = 2146 \\ x = \frac{2146}{99}$

So we can say,

$21. \bar{67} = \frac{2146}{99}$

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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