# 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 Convert 2.3 into percentage. Convert 4 / 5 into percentage and decimal. Convert 50% into fraction and decimal. Convert 0.8 into percentage and reduced fraction. Convert 1 / 3 into percentage and decimal. Convert 0.7 into percentage and reduced fraction. Convert 210% into decimal and reduced fraction. Answers to Above Exercises 230% 80% , 0.8 1 / 2 , 0.5 80% , 4 / 5 33% , 0.33 (rounded to two decimal places) 70% , 35 / 50 2.1 , 21 / 10 More on Percents, Percent Calculator and fractions