Question

Write 0.38bar in p/q form​

Answer 1

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Answer 2

Answer:

Required form is $\frac{7}{18}$

Step-by-step explanation:

Here given,0.38 bar

Now what is the meaning of 0.38 bar?

$0.38 \: bar = 0.388888888......$

Let,$x = 0.388888888.... \: \: ...(1)$

Multiplying by 10 in both side,

$10x = 3.88888888....... \: ....(2)$

We are subtracting equation (1) from equation (2),

$10x - x = 3.8888 - 0.3888$

$9x = 3.5$

We are dividing 3.5 by 9.

$x = \frac{3.5}{9} = \frac{35}{9 \times 10} = \frac{35}{90} = \frac{7}{18}$

Therefore $\frac{p}{q}$form of 0.38 bar is $\frac{7}{18}$

This is a problem of Algebra.

Some important formulas of Algebra,

(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)