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

If x:y = 2:3 and z:y = 4:3, what is x:z?

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The LCM of 12 and 15 is:

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The probability of rolling a sum of 7 with two dice is:

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

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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

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