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

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What is the square root of 144?

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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 x = 2 and y = 3, what is the value of (x^2 + y^2)?

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

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