Convert Percentages, Fractions and Decimals

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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