Question

Solve: $4\frac{2}{3}-3\frac{3}{4}$

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

Answer 1

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

$4\left(\frac{2}{3}\right)-3\left(\frac{3}{4}\right)=\left(\frac{4\times 3+2}{3}\right)-\left(\frac{3\times 4+3}{4}\right)=\left(\frac{14}{3}\right)-\left(\frac{15}{4}\right)=\left(\frac{14\times 4-15\times 3}{12}\right)=\left(\frac{56-45}{12}\right)=\left(\frac{11}{12}\right)$