Question

Multiply the following numbers. Reduce the answer to lowest terms.

3 1/4 · 1 1/3

Answer 1

$= 3 \frac{1}{4} \times 1 \frac{1}{3}$

$= \frac{(4 \times 3 + 1)}{4} \times \frac{(3 \times 1 + 1)}{3}$

$= \frac{13}{4} \times \frac{4}{3}$

$= \frac{52}{12}$

$= \frac{52 \div 2}{12 \div 2}$

$= \frac{26}{6}$

$= \frac{26 \div 2}{6 \div 2}$

$\color{hotpink} = \frac{13}{3}$

$\color{hotpink} = 4\frac{1}{3}$

Therefore the product of :-

$\color{hotpink}3 \frac{1}{4} \times 1 \frac{1}{3} \color{olive}= \frac{13}{3} \:\color{hotpink} (or) \color{olive}\: 4 \frac{1}{3}$