Topic Details (Notes format)

How to Multiply Fractions

Subject: Mathematics

Book: Maths Mastery

Multiplying fractions is often simpler than addition or subtraction because you do not need a common denominator. The formula is straightforward: (a/b) × (c/d) = (a×c) / (b×d). For example, (2/3) × (3/4) = (2×3)/(3×4) = 6/12, which simplifies to 1/2. You can also simplify before multiplying if there are common factors. This technique is vital in probability (calculating independent events), scaling recipes, and analyzing proportions. Mastering fraction multiplication bolsters your skillset for advanced topics like rational algebraic expressions and real-world calculations.

Practice Questions

If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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A number is increased by 20% and then decreased by 10%. What is the net change?

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If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

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If x + y = 10 and xy = 21, what is the value of x³ + y³?

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If the average of five consecutive odd numbers is 25, what is the largest number?

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What is the sum of the first 20 odd numbers?

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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If x^2 + 4x + 4 = 0, what is the value of x?

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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What is the value of x if log(x) + log(4) = log(32)?

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