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 probability of getting an even number when rolling a die is:

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If the average of five consecutive odd numbers is 25, what is the largest number?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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What is the sum of the first 50 positive integers?

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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If sin(A) = 1/2 and A is acute, what is the value of A?

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

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If x^2 - 5x + 6 = 0, what are the roots?

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

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What is the square root of 144?

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