Adding & Subtracting
Fractions and Mixed
Numbers
MATH
1
What Are You Learning?
I CAN add fractions and
mixed numbers.
I CAN subtract fractions
and mixed numbers.
2
Why Do You Need To Know This?


Adding and subtracting fractions is
important because many real-world
situations deal with fractions.
Such as recipes, measurements,
distances, lengths, and heights.
3
Do You Know?




What is the answer for 6/11 + 3/11?
What are the steps for solving the above
problem?
What is the answer for 3/10 + 5/10?
What are the steps for solving the above
problem?
4
Vocabulary
Like fractions
Fractions that have
the same
denominator.
5
Adding Like Fractions

Add the numerators.

Keep the same denominator.

Simplify if needed.
6
Find each sum.
a.
5/9 + 2/9
b.
7/12 + 4/12
c.
6/7 + 3/7
7
Vocabulary
Unlike fractions
Fractions that have
different
denominators.
8
Do You Know?



What is the answer for the ¾ + 1/8?
The answer is 7/8. Can you figure out
how to find the answer?
What are the steps for solving the
above problem?
9
Adding Unlike Fractions




Find the least common denominator.
Change the numerators. (Find equivalent
fractions)
Add the numerators and keep the
denominator.
Simplify.
10
Add. Simplify if needed.
a.
½ + 1/6
b.
1/3 + 1/9
c.
7/8 + ¾
d.
5/6 + 4/9
11
Adding Mixed Numbers
Write in simplest form.
a.
7¾+2¾
b.
7 1/8 + 5 3/8
c.
7 ¾ + 2 2/3
d.
6 1/3 + 2 1/6
Subtracting Like Fractions

Subtract the numerators.

Keep the same denominator.

Simplify if needed.
13
Subtract. Write in simplest
form.
a.
9/10 – 1/10
b.
5/6 – 1/6
c.
8/9 – 2/9
14
Subtract. Write in simplest form.
a.
7/8 - 5/6
b.
¾ - 1/6
c.
5/6 – 3/8
d.
2/3 – 1/6
15
Subtracting Like Fractions

Subtract the numerators.

Keep the same denominator.

Simplify if needed.
16
Subtract. Write in simplest
form.
a.
9/10 – 1/10
b.
5/6 – 1/6
c.
8/9 – 2/9
17
Subtract. Write in simplest form.
a.
7/8 - 5/6
b.
¾ - 1/6
c.
5/6 – 3/8
d.
2/3 – 1/6
18
Subtracting Mixed Numbers
Write in simplest form.
a.
8 5/6 – 2 1/3
d.
7–1½
b.
13 7/8 – 9 ¾
e.
11 - 6 3/8
f.
8 – 3 2/3
c.
9 7/10 – 4
3/5
19
Subtracting Mixed Numbers
Write in simplest form.
a.
7¼-2¾
b.
5 1/5 – 3 4/5
20
Class Work
21