Division Fraction C219Aa

1. The problem is to find the formula for dividing fractions. 2. When dividing fractions, the rule is to multiply the first fraction by the reciprocal of the second fraction. 3. The formula is: $$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$$ 4. This means you flip the second fraction and multiply the numerators and denominators: $$= \frac{a \times d}{b \times c}$$ 5. Important rule: You cannot divide by zero, so $b$, $c$, and $d$ must not be zero. 6. Example: Divide $\frac{2}{3}$ by $\frac{4}{5}$. $$\frac{2}{3} \div \frac{4}{5} = \frac{2}{3} \times \frac{5}{4} = \frac{2 \times 5}{3 \times 4} = \frac{10}{12}$$ 7. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (2): $$\frac{\cancel{10}^{\,5}}{\cancel{12}^{\,6}} = \frac{5}{6}$$ 8. So, $\frac{2}{3} \div \frac{4}{5} = \frac{5}{6}$. This is the general formula and method for dividing fractions.