Question

The value of $12\frac{1}{4}\times 8\frac{1}{2}$ calculated using binomial multiplication is

• A. $104\frac{1}{8}$
• B. $108\frac{1}{4}$
• C. $104\frac{1}{4}$
• D. $108\frac{1}{8}$

Answer 1

The correct option is A

$104\frac{1}{8}$

$12\frac{1}{4}\times 8\frac{1}{2}$ can be written as

$(12+\frac{1}{4})(8+\frac{1}{2})$

$=12\times 8+12\times \frac{1}{2}+\frac{1}{4}\times 8+\frac{1}{4}\times \frac{1}{2}$

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

$=104\frac{1}{8}$