Topic Details (Notes format)

How to Divide Fractions

Subject: Mathematics

Book: Maths Mastery

Dividing fractions transforms the problem into multiplication by the reciprocal of the divisor. The formula for (a/b) ÷ (c/d) is (a/b) × (d/c). For instance, (3/5) ÷ (2/7) = (3/5) × (7/2) = 21/10 or 2 1/10. Reciprocal simply means flipping the numerator and the denominator of the divisor. This procedure arises in contexts like distributing resources into fractional segments or converting rates (e.g., speed or density calculations). Consistent practice ensures your ability to handle everyday scenarios, from cooking half a recipe to analyzing productivity rates in a group project.

Practice Questions

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

View Question

What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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 x^2 - 5x + 6 = 0, what are the roots?

View Question

If the sum of three consecutive integers is 72, what are the integers?

View Question

If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

View Question

If x² - 9x + 18 = 0, what are the roots of the equation?

View Question

If the length of a rectangle is doubled and the width is halved, what is the change in area?

View Question

If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

View Question

What is the sum of the first 50 positive integers?

View Question