Here are the essential concepts you must grasp in order to answer the question correctly.
Complex Fractions
A complex fraction is a fraction where the numerator, the denominator, or both contain fractions themselves. To simplify complex fractions, one typically finds a common denominator for the inner fractions, allowing for easier manipulation and simplification of the overall expression.
Recommended video:
Common Denominator
A common denominator is a shared multiple of the denominators of two or more fractions. When simplifying complex fractions, identifying a common denominator is crucial as it allows for the combination of fractions into a single fraction, making it easier to perform operations such as addition, subtraction, or simplification.
Recommended video:
Rationalizing Denominators
Algebraic Manipulation
Algebraic manipulation involves applying algebraic rules and properties to rearrange and simplify expressions. This includes operations like factoring, distributing, and combining like terms, which are essential for simplifying complex fractions and solving algebraic equations effectively.
Recommended video:
Introduction to Algebraic Expressions