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

The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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What is the sum of all odd numbers from 1 to 99?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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What is the value of x if 3x + 7 = 16?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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If the sum of three consecutive integers is 96, what are the integers?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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What is the value of log₃(27)?

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