The Relationship among fractions, decimals, and percents

Hi, kids.  By the end of this activity:

• you will be able to move among fractions, decimals and percents.
• you will understand the relationship among these types of numbers.

Average online time: 20 min
Average offline time: 10 min

1. TOPIC EXPLANATION

Let's remember some basic concepts.

■ A fraction represents how many parts (numerator) we take from the whole (denominator).

■ A decimal is a number that uses place value and a decimal point to show tenths, hundredths, thousandths and so on.

■ A percent means how many parts we take from a hundred.

2. How do we change fractions into decimals?
Let's change 3/4 into a decimal. Divide the numerator (3) into the denominator (4). 

Answer: 3/4 = 0.75

3. How do we change decimals into fractions?

Multiply the decimal by 100, which means moving the decimal point two times to the right
0.75 x 100 = 75%

4. YOUR TASK

Please choose any fraction and then change it first to a decimal number and then to a percent. The only fraction you cannot choose is one whose percent equals 50%.
See you around!

Additional information about the topic available at:

■ http://www.mccc.edu/~kelld/CompFDP.htm

■http://www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/comparing/decimalspercentages/