Topic Details (Notes format)

How to Add and Subtract Fractions (Different Denominators)

Subject: Mathematics

Book: Maths Mastery

To add or subtract fractions with different denominators, find a common denominator—often the LCM of the denominators—then adjust each fraction accordingly. For example, with 1/3 and 1/4, the LCM is 12, so 1/3 = 4/12 and 1/4 = 3/12. Then 4/12 + 3/12 = 7/12. Subtraction is similar but you subtract numerators. Maintaining a step-by-step method ensures consistent accuracy, essential in contexts like cooking measurements, scaling up recipe portions, or dividing shared resources equitably. Continuously practicing fraction addition and subtraction nurtures confidence in handling more complex rational expressions later.

Practice Questions

What is the area of a circle with a diameter of 14 cm?

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

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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What is the HCF of 72 and 120?

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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