simplying, Mixed numbers and improper fractions

Multiple Choice

When simplifying fractions what is your first step.

• Divide

• Find Common Number

• Find Factors

Simplify 60/88

First: Find factors

60:(60,1) (2,30) (3,20) (4,15) (5,12) (6,10)

88:(1,88) (2,44) (4,22) (8,11)

Simplify 60/88

Second: Circle Greatest Common Factor

60:(60,1) (2,30) (3,20) (4,15) (5,12) (6,10)

88:(1,88) (2,44) (4,22) (8,11)

Multiple Choice

After you find Greatest Common Factor (GCF), what do you do next.

• Divide Numerator by GCF

• Divide Denominator GCF

• Both

Simplify 60/88

Third: Divide by GCF

• 60/4=15

• 88/4=22

Multiple Choice

The numerator

• is the number of parts selected of a fraction

• is the total parts of a fraction

Multiple Choice

The denominator

• is the selected parts in a fraction

• is the total parts in a fraction

Simplifying Fractions

• Reduce

• Simplest Terms/Form

• Lowest Terms/Form

Lets take it step by step

Step number one is to find the common factors

​Equivalent Fractions

​Equivalent fractions are fractions that are equal

​Equivalent Fractions

​We make equivalent fractions by multiplying the numerator by the same number as the denominator.

Multiple Select

What are the equivalent fractions? Tick all

• 2/8 and 1/4

• 1/3 and 2/3

• 6/8 and 3/4

• 1/5 and 1/10

​Simplifying Fractions

​Simplified fractions are equivalent fractions. To simply fractions we reduce them to the smallest denominator and numerator

Common fractions

• Proper fractions

• Improper fractions

• Mixed numbers

What are fractions?

• a numerical quantity that is not a whole number (e.g. 1/2, 0.5).

• A part of a whole number

Examples of fractions

Examples of fractions may include 1/2, 1/3, 1/4, 1/5 and 1/6 etc.

Proper fractions

• Fractions where the numerator (number on top) is smaller than the denominator (number on the bottom)

Improper fractions

Fractions where the numerator is greater than the denominator

Mixed numbers

A number that consists of a whole number and a proper fraction

Example: 1. Simplify undefined 

Multiple Choice

Is this fraction:

$$\frac{25}{5}$$  

• Proper fraction

• A mixed number

• An improper fraction

Multiple Choice

Is this fraction....

$$\frac{3}{12}$$  

• A mixed number 

• A proper fraction

• An improper fraction

Multiple Choice

Is this fraction....

$$5\ \frac{3}{5}$$  

• A mixed number

• A proper fraction

• An improper fraction 

Compare Fractions: >,<,=

Use your fraction strips OR the butterfly method (cross-multiply)

Multiple Choice

Compare.

• >

• <

• =

Multiple Choice

Compare.

• >

• <

• =

factors

numbers that multiply together to get a product

simplify

finding the smallest denominator for a fraction

GCF

Greatest Common Factor (see example)

Multiple Choice

When simplifying fractions what is your first step.

• Divide

• Find Common Number

• Find Factors

Simplify 60/88

First: Find factors

60:(60,1) (2,30) (3,20) (4,15) (5,12) (6,10)

88:(1,88) (2,44) (4,22) (8,11)

Simplify 60/88

Second: Circle Greatest Common Factor

60:(60,1) (2,30) (3,20) (4,15) (5,12) (6,10)

88:(1,88) (2,44) (4,22) (8,11)

Multiple Choice

After you find Greatest Common Factor (GCF), what do you do next.

• Divide Numerator by GCF

• Divide Denominator GCF

• Both

Simplify 60/88

Third: Divide by GCF

• 60/4=15

• 88/4=22