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

View Question

If the product of two numbers is 120 and their sum is 26, what are the numbers?

View Question

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

View Question

A car covers a distance of 150 km in 2.5 hours. What is its average speed?

View Question

What is the sum of all even numbers between 1 and 100?

View Question

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

View Question

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

View Question

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

View Question

If x^2 + 4x + 4 = 0, what is the value of x?

View Question

A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

View Question