Topic Details (Notes format)

How to Simplify Complex Fractions

Subject: Mathematics

Book: Maths Mastery

Complex fractions are fractions whose numerator or denominator (or both) contain other fractions. For example, (3/4) / (5/8). Simplify by multiplying the numerator by the reciprocal of the denominator: (3/4) ÷ (5/8) = (3/4) × (8/5) = 24/20 = 6/5. Alternatively, you can combine multiple fraction layers into a single rational expression. Mastering complex fraction simplification is critical for advanced algebra, rational expressions, and practical tasks like comparing multi-layered rate problems. Routine practice ensures that nested fractions never stall your problem-solving progress.

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