Question

0.225 expressed as a rational number is -

Answer 1

0.225 = 225/1000

then, 225/1000 = 9/40

Answer 2

0.225 as a rational number = $\dfrac{1}{4}$ or, $\dfrac{225}{1000}$

Step-by-step explanation:

We have,

0.225

To express 0.225 as a rational number = ?

∴ 0.225

= $\dfrac{225}{1000}$

The HCF of 225 and 1000 = 225

Dividing numerator and denominator by 225, we get

= $\dfrac{\dfrac{225}{225} }{\dfrac{1000}{225}}$

= $\dfrac{1}{4}$

∴ 0.225 as a rational number = $\dfrac{1}{4}$ or, $\dfrac{225}{1000}$

Thus, 0.225 as a rational number is equal to $\dfrac{1}{4}$.