Question

The value of $6\frac{1}{2}\times 16\frac{1}{3}$ calculated using binomial multiplication is

• A. $108\frac{1}{6}$
• B. $104\frac{1}{6}$
• C. $102\frac{1}{6}$
• D. $106\frac{1}{6}$

Answer 1

The correct option is D

$106\frac{1}{6}$

$6\frac{1}{2}\times 16\frac{1}{3}$ can be written as

$(6+\frac{1}{2})(16+\frac{1}{3})$

$=6\times 16+6\times \frac{1}{3}+\frac{1}{2}\times 16+\frac{1}{2}\times \frac{1}{3}$

$=96+2+8+\frac{1}{6}$

$=106\frac{1}{6}$