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 sum of the first 10 positive even numbers?

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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

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What is the square root of 121?

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

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

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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If the length of a rectangle is doubled and the width is halved, what is the change in area?

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