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 x^2 - 5x + 6 = 0, what are the roots?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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

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A man spends 75% of his income and saves Rs. 600. What is his total income?

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How many diagonals does a pentagon have?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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What is the length of the diagonal of a square with a side length of 7 cm?

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

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If the probability of an event is 1/4, what is the probability of its complement?

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What is the square root of 144?

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