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

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

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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What is the area of a circle with a diameter of 14 cm?

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

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If the radius of a circle is 7 cm, what is its circumference?

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What is the probability of drawing a king from a standard deck of 52 playing cards?

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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