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

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

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If x - y = 5 and x + y = 15, what is the value of x?

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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What is the value of x if 3x + 7 = 16?

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What is the remainder when 5^100 is divided by 3?

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How many ways can 4 people sit in a row?

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A number is increased by 20% and then decreased by 20%. What is the net change?

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If the perimeter of a square is 40 cm, what is the area of the square?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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What is the sum of the first 10 positive even numbers?

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