Vocabulary
What does it mean when two fractions are equivalent?
That they are equal to each other.
What do GCF and LCM stand for?
GCF = Greatest Common Factor
LCM = Lowest Common Multiple
How do you find equivalent fractions?
Multiply the fraction by a whole.
2/3 xx 3/3 = 6/9
9/12 = ?/?
9/12 = 3/4
5/7 - 2/7 = ?/?
5/7 - 2/7 = 3/7
Label each number as Mixed or Improper
56/4 = ?
9 3/8 = ?
56/4 = I
9 3/8 = M
1/3 xx 2/8 =
1/3 xx 2/8 = 2/24
2/24 = 1/12
What does it mean to reduce or simplify a fraction?
To reduce or simplify means to write the fraction using the smallest possible numbers or lowest terms.
Ex:
3/6 = 1/2
Find the GCF of 12 and 20
12 = 1, 2, 3, 4, 6, 12
20 = 1, 2, 4, 5, 10, 20
The GCF is 4
Solve for x
4/5 = x/15
x = 12
4/5 xx 3/3 = 12/15
12/22 = ?/?
12/22 = 6/11
3/5 + 1/5 = ?/?
3/5 + 1/5 = 4/5
Convert to an improper fraction
5 6/7 = ?
7xx5 = 35
35 + 6 = 41
41/7
2/3 -: 1/4 =
2/3 -: 1/4 = 2/3 xx 4/1
2/3 xx 4/1 = 8/3
8/3 = 2 2/3
What is a factor?
A factor is a number that divides into another number with no remainder.
12 x 1 = 12
6 x 2 = 12
3 x 4 = 12
What is the LCM of 5 and 6?
5 = 5, 10, 15, 20, 25, 30
6 = 6, 12, 18, 24, 30
The LCM is 30
Solve for x
2/5 = 14/x
x = 35
2/5 xx 7/7 = 14/35
4/12 = ?/?
4/12 = 1/3
1/2 - 1/3 = ?/?
1/2 - 1/3 = ?/?
3/3(1/2) - (1/3)2/2 = ?/?
3/6 - 2/6 = 1/6
Convert to a mixed fraction
6/5
6-:5 = 1 r1 = 1 1/5
2/7 xx 8 =
2/7 xx 8 = 2/7 xx 8/1
2/7 xx 8/1 = 16/7
16/7 = 2 2/7
What is a multiple?
A multiple is the product of a certain number and another number.
Ex: 7 multiplied by 6 is 42, so 42 is a multiple of 7.
Find the GCF of 14 and 28
14 = 1, 2, 7, 14
28 = 1, 2, 4, 6, 14, 28
The GCF is 14
Solve for x and y
3/5 = x/30
3/5 = 24/y
x = 18, y = 40
3/5 xx 6/6 = 18/30
3/5 xx 8/8 = 24/40
4/24 = ?/?
4/24 = 1/6
1/5 + 2/3 = ?/?
1/5 + 2/3 = ?/?
3/3(1/5) + (2/3)5/5 = ?/?
3/15 + 10/15 = 13/15
Convert to an improper fraction
45 3/5
5xx45 = 225
225+3 = 228
228/5
8 -: 2/3 =
8 -: 2/3 = 8/1 -: 2/3
8/1 xx 3/2 = 24/2
24/2 = 12/1 = 12
What is the reciprocal?
of a number, the result of dividing one by that number.
7/1 -> 1/7
What is the LCM of 9 and 12?
9 = 9, 18, 27, 36
12 = 12, 24, 36
The LCM is 36
Solve for x and y
2/5 = 20/x
2/5 = y/10
x = 50, y = 4
2/5 xx 10/10 = 20/50
2/5 xx 2/2 = 4/10
27/36 = ?/?
27/36 = 3/4
3/5 - 1/2 = ?/?
3/5 - 1/2 = ?/?
2/2(3/5) - (1/2)5/5 = ?/?
6/10 - 5/10 = 1/10
Convert to a mixed fraction
75/6 = ?
75-:6 = 12 r3 = 12 3/6
12 3/6 = 12 1/2
2 1/2 -: 4 1/2 =
2 1/2 -: 4 1/2 = 5/2 -: 9/2
5/2 xx 2/9 = 10/18
10/18 = 5/9