Fractions
Fractions
Table of Contents
- Comparing Fractions
- Comparing Fractions using Models
- Comparing fractions using number lines and circles
- Comparing Rational Numbers – Fractions
- Simplifying Fractions
- Simplifying Proper Fractions
- Simplifying Fractions
- Simplifying fractions
- Adding Fractions
- Fraction Addition/Subtraction - Common Denominators
- Addition of Fractions
- Adding Fractions Scored Practice
- Subtracting Fractions
- Subtracting fractions with number lines
- Adding and Subtracting Proper Fractions
- Subtracting fractions
- Multiplying Fractions
- Multiplying Fractions
- Multiplying fractions with area model
- Multiplying Fractions: Array model activity
- Dividing Fractions
- Dividing Fractions
- Dividing Fractions Using Visual Models
- Dividing Fractions based on patterns
Comparing Fractions using Models
Compare these fractions.
[size=200]I[/size][size=150][size=200]s the fraction on the left greater than >, less than <, or equal to = the one on the right? [br][br]How do you know? (hint - use the sliders on the right to slide the parts of the circle on top of the other circle). [br][/size][br][size=200]Compare the fractions using the correct symbol (>, < or =).[/size][/size]
What do you notice about the denominators of these fractions?
[size=150][size=200]When fractions have the same denominator, does a larger numerator make the fraction greater than > or less than < the other one?[br][br]Is the fraction on the left greater than > or less than < the one on the right?[br][br]Compare the fractions using the correct symbol (>, < or =).[/size][/size]
What do you notice about the numerators of these fractions?
[size=200]When fractions have the same numerator, does a larger denominator make the fraction larger or smaller than the other one?[br][br][/size][size=200]Which fraction is larger, the one on the left or the one on the right?[/size]
Compare these two fractions
[size=200]Which fraction is larger? Compare the fractions using the correct symbol (>, < or =).[br][br]How would you know which is larger if you did not use the images? [/size]
Simplifying Proper Fractions
Fraction Addition/Subtraction - Common Denominators
Adding/Subtracting Fractions with Common Denominators
[br]Suppose Josh ordered a pizza and sat down to watch football. The pizza was cut into 6 equal slices. During the first half of the game, he ate one slice and during the second half, he ate another. How much of the pizza did Josh eat?
Josh ate 2 out of 6 slices. 2 out of 6 is written as the fraction [math]\frac{2}{6}[/math]. However, when solving problems, it's always good to look at how to solve them in multiple ways.[br][br]Each piece of the pizza can be thought of as a [i]unit fraction[/i] of [math]\frac{1}{6}[/math]. Since Josh ate two slices, we can think of these are two separate unit fractions of [math]\frac{1}{6}[/math]. When we add them together, we see [math]\frac{1}{6}+\frac{1}{6}=\frac{2}{6}[/math]. However, we always want to think of our answers in reduced fraction form, so we reduce and find [math]\frac{2}{6}=\frac{1}{3}[/math]. This is illustrated for you in your workbook.[br][br]When adding fractions with [i]common denominators[/i], we can add together the two [i]numerators[/i] while leaving the denominators the same. The same is true for subtraction - to find the difference between two fractions with common denominators, subtract the numerators and leave the denominator the same (ex. [math]\frac{2}{6}-\frac{1}{6}=\frac{1}{6}[/math]).[br][br]
[size=200][color=#0000ff]Exercises[/color][/size]
Answer the following questions:
[math]\frac{5}{12}+\frac{2}{12}=[/math]
[math]\frac{3}{8}+\frac{7}{8}=[/math]
[math]\frac{5}{8}-\frac{1}{8}=[/math]
[math]\frac{11}{2}-\frac{7}{2}=[/math]
Subtracting fractions with number lines
Use fractions on a number line to develop an understanding for how to subtract fractions.
Subtracting fractions with number lines
Multiplying Fractions
[size=150][size=100]In mathematics we read the number sentence [math]\frac{2}{3}\times\frac{3}{5}[/math] as two-thirds of three-fifths. This applet is [br]designed to represent a whole with a square and interactive tools (check boxes and sliders), to investigate a model for multiplying fractions. [br][br]Begin by selecting the denominator and numerator check boxes for the blue fraction followed by the denominator and numerator check boxes for the red fraction. [/size][/size]