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

The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

View Question

What is the HCF of 72 and 120?

View Question

The LCM of 12 and 15 is:

View Question

If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

View Question

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

View Question

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

View Question

What is the value of log₃(27)?

View Question

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

View Question

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

View Question

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

View Question