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 x² - 9x + 18 = 0, what are the roots of the equation?

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What is the square root of 121?

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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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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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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If the radius of a circle is doubled, what happens to its area?

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

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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