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 all even numbers between 1 and 50?

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If 2x - 3 = 7, what is the value of x?

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What is the square root of 121?

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

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A cube has a side length of 4 cm. What is its volume?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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What is the LCM of 15 and 20?

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