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 รท 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

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

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If the sum of three consecutive integers is 96, what are the integers?

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

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If 3x = 81, what is the value of x?

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

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What is the area of an equilateral triangle with side length 10 cm?

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What is the HCF of 48 and 180?

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What is the remainder when 5^100 is divided by 3?

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