Fractions Review. Fractions. A number in the form . Numerator. Denominator. Or. N. D. Fractions. The denominator can never be equal to 0. 12. Does not exist!. =. 0. Fractions. A fraction with a numerator of 0 equals 0. 0. 0. =. 0. =. 0. 4. 156. Fractions.
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Find the improper fraction
7
10
4
56
10
11
8
9
73
12
7
4
7 x 4
28
x
=
=
8
9
8 x 9
72
7
1
7
4
9
36
x
x
=
=
9
2
18
7
11
77
30
7
7
1
7
210
x
x
=
=
4
14
5
3
15
56
210
56
What if we needed to multiply again?
Let’s make the fraction more simple, so it will be easier to use in the future.
So let’s go back to our simplification problem from before…
28
Factors are 1, 2, 4, 7, 14, 28
Factors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 48, 72
72
Greatest Common Factor is 4
28
7
÷
=
28
4
7
=
So
=
72
18
72
÷
4
18
Simplification  Let’s Try It!
3
1
7
1
18
2
=
=
=
9
3
21
3
63
7
24
2
6
2
78
13
=
=
=
84
7
15
5
114
19
6
3
1
3
2
x
÷
=
=
8
8
2
8
1
What is a Common Denominator?
3
5
+
8
16
and the factors 1 and 7 with the number 7.
So let’s go back to our simplification problem from before…
3
5
16 goes into 16 one time
8 goes into 16 two times
+
5
1
5
3
2
6
x
x
=
=
8
16
16
1
16
8
2
16
The smallest number that has both of these as factors is 16
6
5
11
+
=
16
16
16
Once you have a common denominator, add the numerators.
3
5
8 goes into 16 two times
16 goes into 16 one time
3
2
6

5
1
5
x
x
=
=
8
2
16
16
1
16
8
16
6
5
1
The smallest number that has both of these as factors is 16

=
16
16
16
Once you have a common denominator, subtract the numerators.