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

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

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A cube has a side length of 4 cm. What is its volume?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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If a square has a perimeter of 64 cm, what is its area?

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What is the greatest common divisor (GCD) of 36 and 48?

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The area of an equilateral triangle with side length 6 cm is:

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What is the area of an equilateral triangle with side length 10 cm?

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