Question

Express the recurring decimal 0.142 as a fraction in its simplest form

Answer 1

Answer:

0.142/100

so the answer would be 71/50

Answer 2

Answer:

$\frac{47}{330}$

Step-by-step explanation:

We require to create 2 equations with the recurring part (42) placed after the decimal point.

let x = 0.14242 ( multiply both sides by 10 and 1000 )

10x = 1.4242... → (1)

1000x = 142.4242... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

990x = 141 ( divide both sides by 990 )

x = $\frac{141}{990}$ = $\frac{47}{330}$