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Math : Conversion of Fractions to Decimals, and Percentages – Lesson 1

This lesson is part of the Lesson on Conversion Series. Converting Fractions to Decimals or Percentages is usually part of the set of questions on numerical ability. You may also need this skill when solving word problems involving ratio and proportion, and money problems involving discounts, interest, and profit.

Before we go to our lesson, let me again remind you some basic points to remember when converting Fractions, Decimals, and Percent:

  • In a fraction, the top number is the Numerator and the bottom number is the Denominator.
  • Be careful when counting the decimal places. Here, decimal place refers to the number of digits to the right of a decimal point. So, in 0.25, 25 has two decimal places; in 0.001, 1 has three decimal places; in 0.058, 58 has three decimal places; and in 0.06, 6 has two decimal places.
  • The number to the left of the decimal point is the integer. The number to the right of the decimal point is the fractional part.
  • ‘Percent’ is a number or ratio expressed as a fraction of 100.

Converting a Fraction to a Decimal:

  1. Simply divide the numerator by the denominator.
  2. Be careful with the decimal places.


  1. 1/4 = 1 (numerator) ÷ 4 (denominator) = 0.25
  2. 3/2 = 3 (numerator) ÷ 2 (denominator) = 1.50
  3. 5/8 = 5 (numerator) ÷ 8 (denominator) = 0.625

Converting a Fraction to a Percent:

    1. Multiply the numerator by 100.
    2. Divide the resulting product by the denominator.
    3. Attach the percentage sign.


  1. 1/4 = ?
    1 x 100 = 100 (1 is the numerator x 100)
    100 ÷ 4 (4 is the denominator)
    = 25% (Attach the percentage sign)
  2. 3/8 = ?
    3 x 100 = 300 (3 is the numerator x 100)
    300 ÷ 8 (8 is the denominator)
    = 37.5% (Attach the percentage sign)

The Lesson Series on Conversion


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