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 square root of 121?

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

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

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

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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If 2x - 3 = 7, what is the value of x?

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If two complementary angles differ by 30°, what are the angles?

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

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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If a number is divisible by 9, it is also divisible by which of the following?

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