Home » Math » Math : Conversion of Fractions to Decimals, and Percentages – Lesson 1

CSE Application Form
Copyright © 2016 ReviewerCivilServiceExam.com. Unauthorized use and/or duplication of any site material without express and written permission from this site’s author and/or owner is strictly prohibited. Excerpts and links may be used, provided that full and clear credit is given to ReviewerCivilServiceExam.com with appropriate and specific direction to the original content.

Like Us On Facebook

Math : Conversion of Fractions to Decimals, and Percentages – Lesson 1

This lesson is part of the Lesson on Conversion Series. Converting Fractions to Decimals or Percentages is usually part of the set of questions on numerical ability. You may also need this skill when solving word problems involving ratio and proportion, and money problems involving discounts, interest, and profit.

Before we go to our lesson, let me again remind you some basic points to remember when converting Fractions, Decimals, and Percent:

  • In a fraction, the top number is the Numerator and the bottom number is the Denominator.
  • Be careful when counting the decimal places. Here, decimal place refers to the number of digits to the right of a decimal point. So, in 0.25, 25 has two decimal places; in 0.001, 1 has three decimal places; in 0.058, 58 has three decimal places; and in 0.06, 6 has two decimal places.
  • The number to the left of the decimal point is the integer. The number to the right of the decimal point is the fractional part.
  • ‘Percent’ is a number or ratio expressed as a fraction of 100.

Converting a Fraction to a Decimal:

  1. Simply divide the numerator by the denominator.
  2. Be careful with the decimal places.

Examples:

  1. 1/4 = 1 (numerator) ÷ 4 (denominator) = 0.25
  2. 3/2 = 3 (numerator) ÷ 2 (denominator) = 1.50
  3. 5/8 = 5 (numerator) ÷ 8 (denominator) = 0.625

Converting a Fraction to a Percent:

    1. Multiply the numerator by 100.
    2. Divide the resulting product by the denominator.
    3. Attach the percentage sign.

Examples:

  1. 1/4 = ?
    1 x 100 = 100 (1 is the numerator x 100)
    100 ÷ 4 (4 is the denominator)
    = 25% (Attach the percentage sign)
  2. 3/8 = ?
    3 x 100 = 300 (3 is the numerator x 100)
    300 ÷ 8 (8 is the denominator)
    = 37.5% (Attach the percentage sign)

The Lesson Series on Conversion


2 Comments

Leave a comment

Your email address will not be published. Required fields are marked *

Time limit is exhausted. Please reload the CAPTCHA.

Effective Tips in Passing the Civil Service Exam

About the Author

I'm a Journalism graduate of the University of the Philippines - Diliman and I'm currently taking up units in Professional Education courses. I have written for various blogs, websites, and magazines in the past. Right now, I work as a freelance eBook writer and a mobile app developer.

While I was managing a fledgling online business and being a full-time mom to my four kids - Yana, Yshi, Yza and Vincent Jr., I took the Career Service Examination - Pencil and Paper Test - Professional Level (CSE-PPT- Prof) for the first time in December 2015. I passed and I got lucky enough to be among the Top 10 examinees in my batch, 3rd in the National Capital Region.