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 a = 2 and b = 3, what is the value of (a^2 + b^2)?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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If x = 2 and y = 3, what is the value of (x^2 + y^2)?

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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 area of a sector of a circle with radius 14 cm and central angle 90°?

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

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