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

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

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

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If two complementary angles differ by 30°, what are the angles?

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What is the square root of 144?

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