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

What is the greatest common divisor (GCD) of 36 and 48?

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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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How many diagonals does a pentagon have?

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

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What is the square root of 0.25?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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If x - y = 5 and x + y = 15, what is the value of x?

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

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The probability of getting an even number when rolling a die is:

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