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

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

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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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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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What is the value of log₃(27)?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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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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