Math – Fractions (Study Guide)

Adding Fractions 1/4 + 2/4
=3/4 (since there is already a “common denominator,” you can simply add the numerators together: 1 +2 = 3)

1/6 + 4/6
(5/6)

7/20 + 11/20
(18/20) – Simplify 9/10

Subtracting Fractions 7/9 – 4/9
=3/9 (since there is already a “common denominator,” you can simply subtract the numerators : 7-4 = 3). Simplify if needed 3/9 = 1/3

5/7 – 2/7
(3/7)

9/12 – 5/12
(4/12) – Simplify 1/3

Simplify Fraction (Simple Form)
(Since 2 is a factor of 4 and a factor of 10, it is a common factor
of 4 and 10.) 4/10 = 2/5

2/14 in simplest form?
(1/7) Because they’re both factors of 2

3/9 in simplest form?
(1/3) Because they’re both factors of 3

Improper Fraction (Example 14/6)
An improper fraction has a numerator greater than or equal to its denominator.

2 1/6 as an improper fraction?
2 x 6 and add 1 = 13/6 (Multiply the whole number by the denominator. Then add the numerator.)

2 2/3 as improper fraction?
(8/3)

Mixed Number (Example 3 1/3)
Divide the numerator by the denominator. Write the remainder as the numerator, the denominator stays the same, and the divisable number is the whole number

5/3 as a mixed number?
(1 2/3)

7/3 as a mixed number?
(2 1/3)

Comparing Fractions ( 4/6 < 5/6)
When the denominators are the same,
you can compare the numerators.

Compare Fractions (5/9 > 1/2)
When denominators are different, use number since and compare each fraction to 1 on a number line or use number since (5/9 > 1/2)

Parts of a Set – Show a set of 7/10 letter B’s?
B B B B B B B U U U

Parts of a Region – What fraction of this region is letter “s”?
S S S S T T T T T ( Answer 4/9)