Question

Simplify $\left[\frac{(0.333{)}^3}{(0.111{)}^2}-\frac{(0.222{)}^4}{(0.111{)}^3}\right]$.

• A. $1.331$
• B. $1.221$
• C. $1.484$
• D. $1.551$

Answer 1

The correct option is B $1.221$

Given, $[\frac{(0.333{)}^3}{(0.111{)}^2}-\frac{(0.222{)}^4}{(0.111{)}^3}]$

We can solve like

= $[\frac{0.333\times 0.333\times 0.333}{0.111\times 0.111}-\frac{0.222\times 0.222\times 0.222\times 0.222}{0.111\times 0.111\times 0.111}]$

= $3\times 3\times 0.333-2\times 2\times 2\times 0.222$

= $2.997-1.776$

= $1.221$