Question

Write 0.12 as a fraction.

Let x = ?
100x = ?
100x - x = ? - ?
99x = ?
X = ?

Answer 1

12/100 is written in facetious

Answer 2

Let 0.12 be x.

Here, x is recurring in two decimal places so we'll multiply it by 10-

• 10x = 1.22

Now, by subtracting them-

`\\ \implies \sf \: 10x - x = 1.22 - 0.12 \\ \\ \\ \implies \sf \: 9x = 1.1 \\`

Now, we'll divide both sides by 9 to get x as a fraction -

`\\ \implies \sf \: x = (1.1)/(9) \\ \\ \\ \star \: \large{ \boxed{ \sf{x = (11)/(90) }}} \\`