Topic Details (Notes format)

How to Convert Mixed Numbers to Improper Fractions

Subject: Mathematics

Book: Maths Mastery

Mixed numbers, such as 3 1/2, can be turned into improper fractions for simpler computation. The formula is (Whole × Denominator + Numerator) / Denominator. For 3 1/2, multiply 3 × 2 = 6, then add the numerator 1 to get 7, yielding 7/2. This unified fraction form makes it easier to perform multiplication, division, or factoring. Converting back and forth between these formats helps with tasks like recipe adjustments, measuring construction materials, or academic fraction manipulations. Proficiency ensures accuracy and fluency in more complex fraction problems.

Practice Questions

What is the length of the diagonal of a square with a side length of 7 cm?

View Question

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

View Question

What is the cube of 4?

View Question

If a square has a perimeter of 64 cm, what is its area?

View Question

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

View Question

The LCM of 12 and 15 is:

View Question

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

View Question

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

View Question

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

View Question

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

View Question