Question

$2\frac{2}{3}$ - $1\frac{3}{4}$ is equivalent to .

• A. $\frac{1}{4}$
• B. $\frac{1}{12}$
• C. $\frac{11}{12}$

Answer 1

The correct option is C $\frac{11}{12}$

$2\frac{2}{3}-1\frac{3}{4}$

Convering mixed fractions into improper fractions

$\frac{8}{3}-\frac{7}{4}$

Now making denominators same

= $\frac{8}{3}\times \frac{4}{4}-\frac{7}{4}\times \frac{3}{3}$

= $\frac{32}{12}-\frac{21}{12}$

= $\frac{32-21}{12}$

= $\frac{11}{12}$