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

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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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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If x = 3 and y = 4, what is the value of x^2 + y^2?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If x² - 9x + 18 = 0, what are the roots of the equation?

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

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What is the probability of drawing a king from a standard deck of 52 playing cards?

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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

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