Download Name Date Period ______ Study Guide – Equivalent Fractions

Name ______________________________________________ Date ____________________ Period ______
Study Guide – Equivalent Fractions & Simplest Form; Comparing/Ordering Fractions & Decimals
(4-4)
(4-9)
Equivalent Fractions – two fractions that represent the same quantity
(x 2)
Examples of Equivalent Fractions of
3
:
6
(x 3)
(x 4)
(÷ 2)
9
18
12
24
1
2
3
6
=
6
12
Your turn!
Directions - Fill in the missing information:
4
5
=
(x 2)
___
10
(x 4)
16
(x 7)
28
Directions – Give three equivalent fractions. (You choose what to multiply by or divide ):
4
6
= ____
=
____
= ____
Simplest Form – the numerator and denominator have no common factors other than 1 (GCF is 1)
* Divide both numerator and denominator by the GCF:
Example: 30 ÷ 15 = 2
45 ÷ 15 = 3
If you can’t remember how to find the GCF, find any common factor to divide by, then keep going !
Ex.
30 ÷ 5 = _6_
45 ÷ 5 = 9
then, divide again because
not in simplest form
_6_ ÷ 3 = _2_
9
÷ 3 = 3
Your Turn!
Directions – Write the fractions in simplest form.
8
÷ ___ = ____
24
3
÷ ___
18
=
____
12
÷ ___ =
20
____
Simplest
Form
Comparing Fractions –
3 possible Methods:
1. Find common denominators to make new fractions, then compare the numerators
2. Cross multiply
3. Change to decimals by dividing
3 x 20 = 60
Example:
3
8
10 x 8 = 80
<
(60 < 80)
10
20
(Method 1 wouldn’t be the best option because it would mean a
large common denominator; Method 2 would be the best option)
Method 3: .375
<
.5
Your Turn!
Directions – Use < , >, or = to compare the fractions:
4
10
6
15
7
12
8
20
3
9
5
16
Ordering Fractions & Decimals – change all fractions to decimals by using division
Example:
0.75
Change to:
0.75
3
8
0.375
Step 1 – line up
using decimal points
0.75_
0.375
1.2_ _
0.236
0.25_
1.6_ _
*** Ordered list:
0.236,
1.2
0.236
1 out of 4
1.2
0.236
0.25
Step 2 – fill in blank spots
with zeros
0.750
0.375
1.200
0.236
0.250
1.600
1 out of 4,
3/8,
0.75,
1.2,
1
3
5
1.6
Step 3 – Order
(small to large)
0.236
0.250
0.375
0.750
1.200
1.600
1 3/5
Your Turn!
Directions – Order the numbers from least to greatest:
1.7
5
8
0.7
0.24
1
1
10
7 out of 9
3
2
2
5