{dfp-include} 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



      More on Percents, Percent Calculator and fractions


Online Step by Step Calculus Calculators and SolversNew ! Factor Quadratic Expressions - Step by Step CalculatorNew ! Step by Step Calculator to Find Domain of a Function New !
Free Trigonometry Questions with Answers -- Interactive HTML5 Math Web Apps for Mobile LearningNew ! -- Free Online Graph Plotter for All Devices
Home Page -- HTML5 Math Applets for Mobile Learning -- Math Formulas for Mobile Learning -- Algebra Questions -- Math Worksheets -- Free Compass Math tests Practice
Free Practice for SAT, ACT Math tests -- GRE practice -- GMAT practice Precalculus Tutorials -- Precalculus Questions and Problems -- Precalculus Applets -- Equations, Systems and Inequalities -- Online Calculators -- Graphing -- Trigonometry -- Trigonometry Worsheets -- Geometry Tutorials -- Geometry Calculators -- Geometry Worksheets -- Calculus Tutorials -- Calculus Questions -- Calculus Worksheets -- Applied Math -- Antennas -- Math Software -- Elementary Statistics High School Math -- Middle School Math -- Primary Math
Math Videos From Analyzemath
Author - e-mail


Updated: February 2015

Copyright 2003 - 2015 - All rights reserved

{ezoic-ad-1}
 
 
{ez_footer_ads}