Fractions, Decimals and Percentages
What you will learn:
- * Adding, subtracting, multiplying and dividing fractions
- * Find a percentage of a whole number
- * Increasing and decreasing by a percentage
- * Calculating inverse percentages
Naming Fractions
WHAT IS A FRACTION?
Check out this video about what fractions are
https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-intro/v/fraction-basics
- A quantity that is part of a whole is a fraction.
- Naming parts of a fraction ...the top number is the NUMERATOR and the bottom number is the DENOMINATOR
- 3/8 is three-eights. There are 8 parts in one whole and there are three of them.
- The numerator is less than (<) the denominator in a proper fraction: e.g. 3/8, 3 < 8
- The numerator is greater than (>) the denominator in an improper fraction: e.g. in 11/8, 11 > 8
Check out this video about what fractions are
https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-intro/v/fraction-basics
Types of Fractions
Equivalent Fractions
Equivalent fractions are equal - they indicate the same share of a whole. A fraction wall like the one shown here can be used to find equivalent fractions. Each row is divided into the number of parts represented by the fraction. The 1/4 brick is the same length as two 1/8 bricks, so 2/8 is equivalent to 1/4.
Here are some fun websites to visit to consolidate your Equivalent Fractions knowledge. Click on the images and go for it!
Mixed Fractions
Finding a Quantity of an Amount
Improper Fractions
Comparing Fractions
- A fraction can also be used to compare sizes of fractions. If the numerators of two fractions are 1, the fraction with the larger denominator is the smaller value : e.g. 1/6 < 1/3.
- When comparing two fractions, benchmark each on a number line. It may be necessary to first change the fractions to equivalent fractions with the same denominator. Fractions with the same denominator are said to have common denominators. The smallest denominator is called the lowest common denominator or LCD.
- The lowest common multiple or LCM is the smallest common number that is a multiple of two or more numbers: e.g. 24 is the LCM for 3,4 and 8.
Ordering Fractions, Decimals and Percentages.
Adding and Subtracting Fractions with Common Denominators
Adding and Subtracting Fractions with Different Denominators
- Change fractions to equivalent fractions with the same denominator before adding or subtracting.
- Add or subtract the numerators.
- If possible write the answer in its simplest form or as a mixed number.
Have a look at this video to see how it is done.
Adding and Subtracting Fractions Game
Multiplying a Fraction by a Fraction
Multiplying Fractions Game
Multiplying Fraction Games |
Click on these images and you will be taken to a fun world of multiplying fraction games. Enjoy and good luck!
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Visit this website: http://www.math-aids.com/Fractions/ It has printable worksheets for you to practice your fractions.
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Dividing Fractions
- When dividing a whole number by a fraction, the result is an even bigger number, because we are finding out how many 'lots of' the fraction there are in the whole number.
- When dividing a fraction by a whole number gives an even smaller fraction, because we are dividing that fraction part into even smaller pieces.
Dividing Fractions Game
Percentages
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". A percentage is a dimensionless number (pure number).
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Change Percentages into Fractions and Decimals Game
Adding and Subtracting Decimals
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