Question

Express 1.32(bar on 2) +0.35( bar on 35) in the form of p/q

Answer 1

Answer:

$\frac{553}{330}$

Step-by-step explanation:

To find : 1.32(bar on 2) +0.35( bar on 35) in form of p/q

Solution:

Let a = 1.3222....       (i)

multiplying (i) with 10

⇒ $10a = 13.222...$       (ii)

multiplying (i) with 100

⇒ $100a = 132.222...$   (iii)

Now, subtracting (ii) from (iii), we get

⇒ $90a = 119$

⇒ $a = \frac{119}{90} = 1.3222...$

Let b = 0.353535...     (iv)

multiplying (iv) with 100

⇒ $100b = 35.353535...$    (v)

Now, subtracting (iv) from (v), we get

⇒ $99b = 35$

⇒ $b = \frac{35}{99} = 0.353535...$

∵  $x + y$ = $1.3222... + 0.353535...$

⇒ $\frac{119}{90} + \frac{35}{99}$

⇒ $\frac{1309 + 350}{990}$

⇒ $\frac{1659}{990} = \frac{553}{330}$

∴ 1.3222... + 0.353535... in $\frac{p}{q}$ form is $\frac{553}{330}$

#SPJ2

Answer 2

ANSWER

553/330

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