Topic Details (Notes format)

How to Divide Fractions

Subject: Mathematics

Book: Maths Mastery

Dividing fractions transforms the problem into multiplication by the reciprocal of the divisor. The formula for (a/b) ÷ (c/d) is (a/b) × (d/c). For instance, (3/5) ÷ (2/7) = (3/5) × (7/2) = 21/10 or 2 1/10. Reciprocal simply means flipping the numerator and the denominator of the divisor. This procedure arises in contexts like distributing resources into fractional segments or converting rates (e.g., speed or density calculations). Consistent practice ensures your ability to handle everyday scenarios, from cooking half a recipe to analyzing productivity rates in a group project.

Practice Questions

A number is increased by 20% and then decreased by 10%. What is the net change?

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

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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If 3x = 81, what is the value of x?

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A number is increased by 20% and then decreased by 20%. What is the net change?

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If a = 4 and b = 5, what is the value of (a+b)^2?

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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 the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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

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The area of an equilateral triangle with side length 6 cm is:

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