Equivalent Fractions
An equivalent fraction to 1/2
2/4, 3/6, 4/8, 5/10, etc.
1
2/3 - 1/3
1/3
Turn this improper fraction into a mixed number:
10/5
2
1 1/2 + 1 1/2
3
Why do you multiply the numerator and denominator by the same number when finding an equivalent fraction? For example: 2/2, 3/3, 4/4, etc.
Because when the numerator and denominator are the same, the fraction equals 1. Multiplying by 1 gives you the same number.
1/4 + 3/8
2/8 + 3/8 = 5/8
3/4 - 1/2
3/4 - 2/4 = 1/4
Turn this mixed number into an improper fraction:
3 1/2
7/2
2 1/2 + 1 1/4
2 + 1 = 3
2/4 + 1/4 = 3/4
3 3/4
The lowest common multiple of 4 and 6.
12
2/3 + 2/9
6/9 + 2/9 = 8/9
5/6 - 1/4
10/12 - 3/12 = 7/12
Turn this mixed number into an improper fraction:
4 7/9
2 1/3 + 3 3/4
2 + 3 = 5
4/12 + 9/12 = 13/12
13/12 = 1 1/12
5 + 1 1/12 = 6 1/12
Create equivalent fractions that share a common denominator.
1/3 and 3/8
8/24 and 9/24
7/12 + 2/3
7/12 + 8/12 = 15/12 = 1 3/12 = 1 1/4
9/10 - 2/3
27/30 - 20/30 = 7/30
Turn this improper fraction into a mixed number:
26/4
6 2/4 = 6 1/2
4 2/9 + 3 4/5
4 + 3 = 7
10/45 + 36/45 = 46/45
46/45 = 1 1/45
7 + 1 1/45 = 8 1/45
Create equivalent fractions that share a common denominator.
3/4 and 5/12
9/12 and 5/12
7/10 + 3/4
14/20 + 15/20 = 29/20 = 1 9/20
1 - 5/8
8/8 - 5/8 = 3/8
Turn this improper fraction into a mixed number:
98/11
8 10/11
23 7/8 + 14 5/7
23 + 14 = 37
49/56 + 40/56 = 89/56
89/56 = 1 33/56
37 + 1 33/56 = 38 33/56