Question

2 express your answer as a fraction in its simplest form. (a) \\(\frac{2}{3} \div 6 =\\) (b) \\(\frac{9}{10} \div 3 =\\)

Explanation:

Step1: Rewrite division as multiplication

$\frac{2}{3} \div 6 = \frac{2}{3} \times \frac{1}{6}$

Step2: Multiply numerators and denominators

$\frac{2 \times 1}{3 \times 6} = \frac{2}{18}$

Step3: Simplify the fraction

$\frac{2 \div 2}{18 \div 2} = \frac{1}{9}$

Step1: Rewrite division as multiplication

$\frac{9}{10} \div 3 = \frac{9}{10} \times \frac{1}{3}$

Step2: Multiply numerators and denominators

$\frac{9 \times 1}{10 \times 3} = \frac{9}{30}$

Step3: Simplify the fraction

$\frac{9 \div 3}{30 \div 3} = \frac{3}{10}$

Answer:

(a) $\frac{1}{9}$
(b) $\frac{3}{10}$