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 sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

View Question

A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

View Question

What is the sum of the first 50 positive integers?

View Question

What is the length of the diagonal of a square with a side length of 7 cm?

View Question

The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

View Question

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

View Question

If a:b = 3:4 and b:c = 5:6, what is a:c?

View Question

What is the square root of 121?

View Question

What is the area of a circle with a diameter of 14 cm?

View Question

A sphere has a radius of 7 cm. What is its volume?

View Question