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

View Question

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

View Question

A man spends 75% of his income and saves Rs. 600. What is his total income?

View Question

What is the HCF of 72 and 120?

View Question

How many ways can 4 people sit in a row?

View Question

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

View Question

If log(100) = 2 and log(10) = 1, what is log(1000)?

View Question

A train 150 m long passes a pole in 15 seconds. What is its speed?

View Question

What is the value of x if 3x + 7 = 16?

View Question

The simple interest on Rs. 4000 at 5% per annum for 2 years is:

View Question