Question

Express 1.32222 in the form p/q, where p and q are integers and q ≠0
full explanation
and full sequence please​

Answer 1

Answer:

• The required answer is 119/90 .

Step-by-step explanation:

Let x = 1.322... ---------------(i)

So, 10x = 13.22 ------------(ii)

then, 100x = 132.22 ---------------------(iii)

Subtracting equation (ii) from (iii) we get

→ 100x - 10x = 132.22 - 13.22

→ 90x = 119

→ x = 119/90

• Hence, the required answer is 119/90 where p & q are integers and q ≠ 0.

Answer 2

Answer:

Given :-

• 1.32222

To Find :-

• We have to express the number in the form of p/q, where p and q are Integers q ≠ 0.

Solution :-

Let,

$\leadsto \sf\bold{\green{x =\: 1.3222\: ------\: (Equation\: No\: 1)}}$

$\leadsto \sf\bold{\green{10x =\: 13.333\: ------\: (Equation\: No\: 2)}}$

And,

$\leadsto \sf\bold{\green{100x =\: 132.333\: ------\: (Equation\: No\: 3)}}$

Now, by subtracting equation No 2 from 3 we get,

$\implies \sf 100x - 10x =\: 132.333 - 13.333$

$\implies \sf 90x =\: 119$

$\implies \sf\bold{\red{x =\: \dfrac{119}{90}}}$

$\therefore$ The required answer is 119/90.