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

If 2x = 16, what is the value of x?

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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What is the value of x if log(x) + log(4) = log(32)?

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What is the sum of the first 20 odd numbers?

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

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

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If x^2 + 4x + 4 = 0, what is the value of x?

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

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What is the slope of a line passing through the points (2, 3) and (4, 7)?

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