Convert Percentages, Fractions and Decimals



Tutorial on how to convert percentages, fractions and decimals. Questions with detailed solutions as well as exercises with answers are presented.

Question 1:

Convert 20% to an equivalent fraction in reduced form.

Solution to Question 1:

  • 20% is a fraction that may be written as

    20 / 100

  • Reduce the above fraction dividing both numerator and denominator by 20 gives

    = 1 / 5

  • Hence

    20% = 1 / 5

  • So a percentage is already a fraction, all what you need to do is reduce that fraction.

Question 2:

Convert the fraction 3 / 4 to percentage.

Solution to Question 2:

  • Use calculator and divide 3 by 40 to obtain

    3 / 4 = 0.75

  • Multiply and divide 0.75 by 100

    = 75 / 100

  • Which is equal to

    = 75%

Question 3:

Convert 0.06 to an equivalent fraction in reduced form.

Solution to Question 3:

  • Multiply and divide 0.06 by 100 to obtain

    0.06 = 6 / 100

  • Reduce the above fraction dividing both numerator and denominator by 2 gives

    = 3 / 50

Question 4:

Convert 0.1 to percentage.

Solution to Question 4:

  • Multiply and divide 0.1 by 100 to obtain

    0.1 = 10 / 100

  • Which is equal to

    = 10%

Question 5:

Convert 3 / 5 into decimal and percentage.

Solution to Question 5:

  • Use calculator and divide 3 by 5 to obtain the decimal equivalent to 3 / 5.

    3 / 5 = 0.6

  • Multiply and divide 0.6 by 100 to obtain the percentage.

    3 / 5 = 0.6 = 60 / 100 = 60%

Question 6:

Convert 0.08 into percentage and a reduced fraction.

Solution to Question 6:

  • Multiply and divide 0.08 by 100 to obtain percentage.

    0.08 = 8 / 100 = 8%

  • Reduce the fraction 8 / 100 dividing numerator and denominator by 4 to obtain a reduced fraction.

    8 / 100 = 2 / 25

Exercises

  1. Convert 2.3 into percentage.

  2. Convert 4 / 5 into percentage and decimal.

  3. Convert 50% into fraction and decimal.

  4. Convert 0.8 into percentage and reduced fraction.

  5. Convert 1 / 3 into percentage and decimal.

  6. Convert 0.7 into percentage and reduced fraction.

  7. Convert 210% into decimal and reduced fraction.

    Answers to Above Exercises

    1. 230%

    2. 80% , 0.8

    3. 1 / 2 , 0.5

    4. 80% , 4 / 5

    5. 33% , 0.33 (rounded to two decimal places)

    6. 70% , 35 / 50

    7. 2.1 , 21 / 10



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Updated: 2 April 2013

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