Converting among decimals, fractions, and percents

All in One Place

Everything you need for better grades in university, high school and elementary.

Learn with Ease

Made in Canada with help for all provincial curriculums, so you can study in confidence.

Instant and Unlimited Help

Get the best tips, walkthroughs, and practice questions.

0/1
?
Intros
Lessons
    • what is a fraction?
    • convert fractions to decimals
    • convert decimals to fractions
0/12
?
Examples
Lessons
  1. Fill in the blank below.
    1. 310=โ–ก100=\frac{3}{10}=\frac{ \Box }{100}=____%
    2. 14=โ–ก100=\frac{1}{4}=\frac{ \Box }{100}=____%
    3. 75=โ–ก100=\frac{7}{5}=\frac{ \Box }{100}=____%
  2. Fill in the blank with the inequality >, < or = to make the statement true.
    1. 10%___0.3
    2. 98\frac{9}{8} ___100%
    3. 4.5___610\frac{6}{10}
  3. There are 20 people in the room below. What percent of people are the following colours?
    Converting among decimals, fractions, and percents
    1. Red
    2. Orange
    3. Blue
  4. The table shows the number of boys and girls in a school who play soccer.

    Play soccer

    Total population

    Girls

    64

    510

    Boys

    128

    500

    Total

    192

    1010


    1. Estimate the percent of girls who play soccer. Then, calculate the percent using a calculator and round to the nearest tenth.
    2. Estimate the percent of boys who play soccer. Then, calculate the percent using a calculator and round to the nearest tenth.
    3. Estima el porcentaje de niรฑos en la escuela que juegan futbol soccer. Después, calcula el porcentaje usando una calculadora y redondea al décimo mรกs cercano.
0%
?
Practice
Free to Join!
StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.
  • Easily See Your Progress

    We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.
  • Make Use of Our Learning Aids

    Last Viewed
    Practice Accuracy
    Suggested Tasks

    Get quick access to the topic you're currently learning.

    See how well your practice sessions are going over time.

    Stay on track with our daily recommendations.

  • Earn Achievements as You Learn

    Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.
  • Create and Customize Your Avatar

    Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
Topic Notes
?
In this section, we estimate percents as fractions and as decimals. When converting between percents, fractions, and decimals, we reference the place value system, first introduced in the previous section. For example, in the decimal number 0.34, we have 3 tenths and 4 hundredths, which can be expressed as, 310\frac{3}{10}+4100\frac{4}{100}. 0.34 can also be expressed as 30 hundredths and 4 hundredths, which can be written as 30100\frac{30}{100}+4100\frac{4}{100}=34100\frac{34}{100}. We also discuss how "cent" in the word "percent" refers to "hundred" . 34100\frac{34}{100} means 34 per 100 or 34 per cent. Along with the place value system, we use loading – strip models to convert between percents, fractions, and decimals.