Topic Details (Notes format)

How to Simplify Complex Fractions

Subject: Mathematics

Book: Maths Mastery

Complex fractions are fractions whose numerator or denominator (or both) contain other fractions. For example, (3/4) / (5/8). Simplify by multiplying the numerator by the reciprocal of the denominator: (3/4) ÷ (5/8) = (3/4) × (8/5) = 24/20 = 6/5. Alternatively, you can combine multiple fraction layers into a single rational expression. Mastering complex fraction simplification is critical for advanced algebra, rational expressions, and practical tasks like comparing multi-layered rate problems. Routine practice ensures that nested fractions never stall your problem-solving progress.

Practice Questions

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

View Question

The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

View Question

If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

View Question

The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

View Question

If 3x = 81, what is the value of x?

View Question

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

View Question

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

View Question

The sides of a triangle are 7, 24, and 25. Is this a right triangle?

View Question

What is the HCF of 48 and 180?

View Question

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

View Question