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

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

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What is the cube root of 729?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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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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If the average of five consecutive odd numbers is 25, what is the largest number?

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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 cube has a side length of 4 cm. What is its volume?

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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