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

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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What is the sum of all even numbers between 1 and 100?

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What is the sum of all even numbers between 1 and 50?

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What is the sum of the interior angles of a hexagon?

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

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

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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 a = 4 and b = 5, what is the value of (a+b)^2?

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