Topic Details (Notes format)

How to Convert Improper Fractions to Mixed Numbers

Subject: Mathematics

Book: Maths Mastery

An improper fraction has a numerator larger than or equal to its denominator, such as 11/4. To convert it to a mixed number, divide 11 by 4. You get 2 as the quotient (the whole part) and 3 as the remainder (new numerator), so 11/4 = 2 3/4. Mathematically, if you have a fraction a/b, it becomes (a ÷ b) remainder (a mod b). Mixed numbers help interpret real-world measurements (like 2 3/4 cups of flour) or divide items among groups. Understanding and switching between fraction forms fosters flexibility and clarity in arithmetic and practical tasks alike.

Practice Questions

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

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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

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

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What is the value of x if log(x) + log(4) = log(32)?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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

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

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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