Fraction to Fraction Equations

#math #foundational

Dividing Fractions

1. Change ÷ to ×
2. Flip the second fraction in the equation
3. Multiply numerator to numerator, denominator to denominator

Eg. $\frac{\text{3}}{\text{4}} ÷ \frac{\text{2}}{\text{5}}$

1. $\frac{\text{3}}{\text{4}} × \frac{\text{2}}{\text{5}}$ The equation is changed to multiplication

2. $\frac{\text{3}}{\text{4}} × \frac{\text{5}}{\text{2}}$ The fraction on the right has it's denominator and numerator inverted

3. $\text{3} × \text{5} = \text{15}$ $\text{4} × \text{2} = \text{8}$ $\text{ANS} = \frac{\text{15}}{\text{8}}$ The fractions are multiplied together, the answer is $\frac{\text{15}}{\text{8}}$

4. $\frac{\text{15}}{\text{8}} = {\text{1}} \frac{\text{7}}{\text{8}}$ OPTIONAL: Simplfy the improper fraction