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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