Question

Write these ratios in the simplest form.

$0.2:0.8$

Answer 1

Step 1: We can write $0.2:0.8$ as $\frac{0.2}{0.8}$

Step 2: For removing decimal point, Multiply Numerator and denominator by $10$, we get

$\frac{0.2\times 10}{0.8\times 10}$ $=\frac{2}{8}$

Step 3: Find the HCF of numerator $2$ and denominator $8$.

By the method of prime factorisation,

$2=2\times 1$

$8=2^3\times 1$

$HCF(2,8)=2$

Step 4: Divide both the numerator and denominator by HCF

$\Rightarrow$$\frac{2÷2}{8÷2}$

$\Rightarrow$$\frac{1}{4}$

Therefore, $0.2:0.8$ can be expressed in simplest form as $1:4$