COMPLEX FRACTION
Definition Of Complex Fraction
A Complex Fraction is a fraction that has one or more rational expressions in the numerator and/or denominator.
A complex fraction is a fraction that has one or more fractions in the numerator and/or denominator.
Video Examples: Maths - Algebra - Complex Algebraic Fractions
Example of Complex Fraction
are examples of complex fractions.
Solved Example onComplex Fraction
Ques: Find the least common denominator (LCD) of the pair of the complex fractions
.
Choices:
A. (x + 7)(x + 8)
B. (x + 8)
C. (x + 15)
D. (x + 56)
Correct Answer: A
Solution:
Step 1: Find the highest power of each factor that appears in either denominator.
Step 2: Both (x + 7) and (x + 8) are linear factors.
Step 3: So, the LCD of the given two complex fractions is (x + 7)(x + 8).
Quick Summary
- Complex fractions contain fractions within fractions.
- Simplifying complex fractions involves finding a common denominator or multiplying by the reciprocal of the denominator.
🍎 Teacher Insights
Emphasize the importance of understanding fractions and rational expressions before tackling complex fractions. Use visual aids to help students understand the structure of complex fractions.🎓 Prerequisites
- Fractions
- Rational Expressions
- Least Common Denominator
Check Your Knowledge
Q1: What is the least common denominator of the pair of the complex fractions? Refer to the image provided in the original text.
Frequently Asked Questions
Q: How do I simplify a complex fraction?
A: You can simplify a complex fraction by finding the least common denominator (LCD) of all fractions within the complex fraction and multiplying both the numerator and denominator of the complex fraction by the LCD. Alternatively, you can simplify the numerator and denominator separately and then divide.