Converting among decimals, fractions, and percents

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

Get the most by viewing this topic in your current grade. Pick your course now.

?
Intros
Lessons
    • what is a fraction?
    • convert fractions to decimals
    • convert decimals to fractions
?
Examples
Lessons
  1. Fill in the blank below.
    1. 310=□100=\frac{3}{10}=\frac{ \Box }{100}=____%
    2. 14=□100=\frac{1}{4}=\frac{ \Box }{100}=____%
    3. 75=□100=\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 niños en la escuela que juegan futbol soccer. Después, calcula el porcentaje usando una calculadora y redondea al décimo más cercano.
?
Practice
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.
Basic Concepts
?
Related Concepts
?