Page 74 - Math Course 1 (Book 1)

Like Fractions

Mo. 2

Lesson 4

Add Mixed Numbers
KEY CONCEPTS:
1. Adding Like Fractions.
2. Subtracting like fractions. Example

4 2
Find 3 +8 . Write the sum in simplest form.
9 9
MO. 2 - L4a
Estimate 3 1 +8 =11 1
2
2
Adding Like Fractions
3 4 +8 2 =(3 + 8)+ ) 4 + 2 ) Add the whole
9 9 9 9 numbers and
fractions
Key Concept separately.

4 + 2 Add the
=11+
Adding Like Fractions 9 numerators.

Words To add fractions with like denominators, Answer =11 6 or 11 2 Simplify.
add the numerators and write the sum 9 3
over the denominator.

a b a + b
Symbol + = , where c = 0
c c c
1 2 1 + 2 3
Example + = or
5 5 5 5

Add Algebraic Fractions

Let’s Begin Example

5 3
Find + . Write the sum in simplest form.
Add Fractions 2b 2b

5 + 3 = 5 + 3 The denominators are
Example 2b 2b 2b the same. Add the
numerators.
3 3
+
Find .Write the sum in simplest form.
4 4 = 8 Add the numerators.
2b
Estimate 1+1 = 2
3 + 3 = 3 + 3 The denominators are the Answer = 4 Simplify.
4 4 4 same. Add the numerators. b

6 3 1 Simplify and
Answer = or or 1 rename as a
4 2 2 mixed number
Compared to the estimate, the answer is
reasonable.
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