Question

The simplification of $3\overline{36}-2.\overline{05}+1\overline{33}$ is equal to

• A. 2.6
• B. 2.64
• C. $2.\overline{61}$
• D. $2.\overline{64}$

Answer 1

The correct option is D $2.\overline{64}$

$3.\overline{36}-2.\overline{05}+1.\overline{33}$

= $3+0.\overline{36}-(2+0.\overline{05})+1+0.\overline{33}$

= $3+\frac{36}{99}-2-\frac{5}{99}+1+\frac{33}{99}$

= $2+\frac{64}{99}=2+0.\overline{64}=2.\overline{64}$