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