Fraction Review
A fraction consists of two numbers: a numerator (the top number) and a denominator (the bottom number).
Numerator = number of parts
Practice
1
6
Simplify
Denominator = number of parts that make a whole
30
16
1.
Simplifying Fractions
Also called, reducing or writing the fraction in lowest terms
60
75
2.
A fraction is simplified if the numerator and denominator have no
factors in common other than 1.
Perform the indicated operation and
simplify, if needed.
To simplify a fraction divide both the numerator and denominator
by the largest number that will divide evenly into both.
3.
1 7
7 18
Examples: 18
30
4.
5 15
13 26
5.
11 5
14 14
3 6
5 6
3
5
10 xy
15 y
2 5 x y
3 5 y
2x
3
Multiplying Fractions
Multiply straight across, numerator times numerator and
denominator times denominator. Simplify, if possible.
Examples:
3 1
4 5
11 3 y
24 5
3
20
33 y
120
11y 3
40 3
11y
40
Dividing Fractions
Multiply the first fraction by the reciprocal (flip) of the second
fraction.
Examples:
3
4
1
5
3 5
4 1
3y
5y3
4
15
4
3y 1
4 5y3
3y
20 y 3
3 y
20 y 2 y
3
20 y 2
Adding or Subtracting Fractions
DENOMINATORS must be the SAME to add or subtract fractions.
Get a common denominator, if needed, then add or subtract the
numerators and keep the common denominator. Simplify, if
possible.
Examples:
3 1
4 5
3 5 14
4 5 5 4
7
8
7
8
1
4
12
4 2
15
20
7
8
2
8
4
20
15 4
20
7 2
8
5
8
19
20
6. 200
2
5
7.
9a
10
2
5
8.
2
3y
5
6y
9.
1
7
3
x
10.
2 8
3 15
11.
9
5
10
12.
7
8
1
20
Answers on back
Practice Answers
1.
15
8
4
5
2.
3.
1
18
4.
2
3
5.
3
7
6. 80
7.
9a 4
10
8.
1
6y
9.
x 21
7x
10.
16
45
11.
9
50
12.
37
40