7th Grade · Ratios & Proportional Relationships
Complex Fraction
7.NS.A.2c
Definition
A fraction whose numerator or denominator (or both) contains a fraction. Simplify by dividing — use KCF: keep the top fraction, change to multiplication, flip the bottom fraction.
Teach it
Where it is taught, with guided notes, practice, homework, an exit ticket and an interactive Teacher Deck.
Examples
- (1/2) ÷ (3/4) = 1/2 × 4/3 = 4/6 = 2/3.
- (5/6) / (10/3) = 5/6 × 3/10 = 15/60 = 1/4.
Key rule
The main fraction bar always means divide the top fraction by the bottom fraction.
Memory hook
Fraction over a fraction = divide.