Question

The value of $6\frac{1}{2}\times 8\frac{1}{3}$ calculated using binomial multiplication is

• A. $56\frac{1}{4}$
• B. $56\frac{1}{6}$
• C. $54\frac{1}{6}$
• D. $54\frac{1}{4}$

Answer 1

The correct option is C

$54\frac{1}{6}$

$6\frac{1}{2}\times 8\frac{1}{3}$ can be written as

$(6+\frac{1}{2})(8+\frac{1}{3})$

$=6\times 8+6\times \frac{1}{3}+\frac{1}{2}\times 8+\frac{1}{2}\times \frac{1}{3}$

$=48+2+4+\frac{1}{6}$

$=54\frac{1}{6}$