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

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If two complementary angles differ by 30°, what are the angles?

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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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What is the sum of all angles in a hexagon?

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What is the length of the diagonal of a square with a side length of 7 cm?

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

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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A train 150 m long passes a pole in 15 seconds. What is its speed?

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

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If 2a + b = 10 and a - b = 4, what is the value of a?

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