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 sum of all odd numbers from 1 to 99?

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What is the sum of the interior angles of a hexagon?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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What is the remainder when 5^100 is divided by 3?

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

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A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

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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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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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