Question

Express each of the following decimal number in the p/ q 3.127 bar

Answer 1

Answer:

$\frac{3124}{999}$

Step-by-step explanation:

Let x be = 3.(127 bar) ------- 2

⇒

1000 x = 3127.(127 bar) ------- 1

Eqs (2 - 1) ;

1000 x - x = 3127.(127 bar) - 3.(127 bar)

999 x = 3124

x = $\frac{3124}{999}$

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Answer 2

$\bf\large{\underline{Question:-}}$

Express each of the following decimal number in the p/ q 3.127 bar

$\bf\large{\underline{Solution:-}}$

$\tt→ x=3.\bar127----equ(1)\\\tt→ 10x=31.\bar127\\\tt → 1000x=. 3127.\bar127----equ(2)$

subtracting equ(1) from(2)

$1000x-x=3127.\bar127-3.\bar127\\\tt→ 999x= 3127 \\\tt→ x=\frac{3124}{999}$

Verification

$\tt→ \frac{3124}{999}=3.\bar127\\\tt→ 3.\bar{127}=3.\bar{127}$

hence,

verified