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

The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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

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What is the sum of all angles in a hexagon?

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If 5x - 2 = 13, what is the value of x?

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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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A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

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What is the HCF of 72 and 120?

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What is the value of x if log(x) + log(4) = log(32)?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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

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