Topic Details (Notes format)

How to Convert Percentages to Decimals and Fractions

Subject: Mathematics

Book: Maths Mastery

Percentages often appear in finance, shopping discounts, and data presentations. Converting them to decimals or fractions broadens the range of calculation methods available. To convert a percentage to a decimal, divide by 100 (e.g., 75% → 0.75). For a fraction, interpret 75% as 75/100, which simplifies to 3/4. A quick formula is Percentage ÷ 100 = Decimal, or Percentage/100 as a fraction, often simplifying if possible. This dual representation is key in more advanced math tasks, letting you multiply or add with ease, merging the best of both fractional and decimal computations.

Practice Questions

What is the cube root of 729?

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If 5x - 2 = 13, what is the value of x?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

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What is the sum of the interior angles of a hexagon?

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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 2a + b = 10 and a - b = 4, what is the value of a?

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A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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

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