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

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

View Question

If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

View Question

A number is increased by 20% and then decreased by 20%. What is the net change?

View Question

If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

View Question

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

View Question

How many ways can 4 people sit in a row?

View Question

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

View Question

The area of an equilateral triangle with side length 6 cm is:

View Question

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

View Question

A number is increased by 20% and then decreased by 10%. What is the net change?

View Question