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