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 x:y = 2:3 and z:y = 4:3, what is x:z?

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If the sum of three consecutive integers is 96, what are the integers?

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

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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If the sum of three consecutive integers is 72, what are the integers?

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

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What is the HCF of 72 and 120?

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A car travels 240 km in 4 hours. What is its average speed?

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A man spends 75% of his income and saves Rs. 600. What is his total income?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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