Vocabulary
Define the word "Equivalent Fraction"
Equivalent Fraction:
Two or more fractions that have the same amount or value
Example:
1/4 is equivalent to 2/8
Find the LCM for the following numbers:
9
18
The LCM for 9:
9, 18, 27, 36, 45
The LCM of 18:
18, 36, 54, 72, 90
The LCM of 9 & 18 is 18
Find the GCF of the following numbers:
5
15
The GCF of 5:
1 X 5
The GCF of 15:
1 X 15
3 X 5
The GCF of 5 & 15 is 5
Simplify the fraction:
6/30
Divide both the numerator and denominator by a common factor:
6/6 = 1
30/6 = 5
The simplified fraction of 6/30 is 1/5
Simplify Fractions. Express as a mixed number
26/12
Find the GCD of 26 and 12
The GCD is 2
Divide both numerator and denominator by 2
26/2 = 13
12/2 = 6
Simplified form is 13/6
Convert the improper fraction to a mixed number
Divide 13 and 6
13/6 = 2 with a remainder of 1
The 2 is the whole number
The remainder of 1 becomes the new numerator
The remaining 6 becomes the denominator
The mixed number is 2 and 1/6
Define the words:
Least Common Multiple (LCM)
Greatest Common Factor (GCF)
Least Common Multiple (LCM)
The smallest positive integer that is divisible by each of a set of given numbers
Greatest Common Factor (GCF)
The largest number that divides evenly into two or more given numbers without leaving a remainder
Find the LCM for the following numbers:
20
30
The LCM of 20:
20, 40, 60
The LCM of 30:
30, 60
The LCM of 20 & 30 is 60
Find the GCF of the following numbers:
32
48
The GCF of 32:
1 X 32
2 X 16
4 x 8
The GCF of 48:
1 x 48
2 x 24
3 x 16
4 x 12
6 x 8
The GCF of 32 & 48 is 16
Simplify the fraction:
24/30
Divide both the numerator and denominator by a common factor:
24/6 = 4
30/6 = 5
The simplified fraction of 24/30 is 4/5
Simplify Fractions.
28/40
Find the GCF of 28 and 40
The GCF is 4
Divide the numerator and denominator by the GCF
28/4 = 7
40/4 = 10
The simplest form is
7/10
Define the word "Improper Fraction"
Is a fraction where the numerator is greater than or equal to the denominator.
Example:
10/7, 13/5, 4/4
Find the LCM for the following numbers:
7
14
21
The LCM of 7:
7, 14, 21, 28, 35, 42
The LCM of 14:
14, 28, 42
The LCM of 21:
21, 42
The LCM of 7, 14, & 21 is 42
Find the GCF of the following numbers:
7
14
49
The GCF of 7:
1 x 7
The GCF of 14:
1 x 14
2 x 7
The GCF of 49:
1 x 49
7 x 7
The GCF of 7, 14, and 49 is 7
Simplify the fraction:
99/108
Divide both the numerator and denominator by a common factor:
99/9 = 11
108/9 =12
The simplified fraction of 99/108 is 11/12
A baker is making croissants. He has 18 pounds of dough. Each croissant is made from 1/8 pounds of dough. How many croissants can he make?
Multiply 18 and 8 together to get a new numerator:
18 x 8 = 144
The old numerator becomes the new denominator
1
When brought together the new fraction is 144/1. This is an improper fraction and should be rewritten.
The baker can make 144 croissants.