A fraction represents a part of a whole. It is made up of an integer numerator (the top number) and a non-zero integer denominator (the bottom number).
For all real numbers a, b, c, d (b≠0,d≠0)
Find: $\frac{1}{2} \times \frac{2}{5}$
Step1:
Multiply the numerators and denominators
$\frac{1}{2} \times \frac{2}{5} = \frac{1 \times 2}{2 \times 5} = \frac{2}{10}$
Step2:
Simplify the fraction
$\frac{2}{10} = \frac{1}{5}$
Answer: $\frac{1}{5}$
Find: $\frac{8}{9} \times \frac{3}{4}$
Step1:
Multiply the numerators and denominators
$\frac{8}{9} \times \frac{3}{4} = \frac{8 \times 3}{9 \times 4}$
Step2:
Divide out common factors
$\frac{8 \times 3}{9 \times 4} = \frac{ 2 \times 1}{3 \times 1}$
Step3:
Simplify the fraction
$\frac{ 2 \times 1}{3 \times 1} = \frac{2}{3}$
Answer: $\frac{2}{3}$