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.

Practice Questions

What is the value of log₃(27)?

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What is the sum of the first 10 positive even numbers?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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The LCM of 12 and 15 is:

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If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

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What is the square root of 121?

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