Curriculum placement
Grade 7. This describes the skill, not a learner estimate.
Simplifying complex fractions
Simplify complex fractions by dividing a simplified numerator by a simplified denominator
Problem types
- Simplify a complex fraction
Builds on
- Multiplying and dividing signed numbers
- Dividing fractions
- Dividing with unit fractions · Earlier idea
Dividing a whole by a unit fraction is a fraction with a fraction in the denominator, which a complex fraction writes.
- Fraction operations on a line plot · Useful idea
Sharing a fractional total among equal parts is a fraction divided by a number, a complex fraction.
Leads to
- Unit rates with fractions · See it applied
A rate with fractions of units, such as half a mile in a quarter hour, is a complex fraction.
- Rational equations with one denominator · Extend the idea
A fraction in a denominator is cleared by multiplying by its denominator, the same step used to solve a rational equation.
- Operations on rational expressions · Extend the idea
Dividing one fraction by another extends to dividing one rational expression by another.
Related skills
- Laws of exponents · Shared foundations
- Solving absolute-value equations · Shared foundations
- Expanding and factoring linear expressions · Shared foundations
- Solving inequalities · Shared foundations
- Percent increase and decrease · Shared foundations
Open the interactive map to explore lessons and skill connections.