4.5 Add and Subtract Mixed​
​
Numbers Objective​
: to add and subtract mixed numbers ★Remember:​
If the fractional parts of mixed numbers are unlike, use the LCD to rename them before adding or subtracting. ★ To add mixed numbers: 1. add the fractions ❏If necessary, rename using the LCD. 2. add the whole numbers and simplify. 3
Example: 5 15 + 2 10
a) 6 18 + 2 58 b) 1 59 + 4 16 ★To subtract mixed numbers: 1. subtract the fractions ❏If necessary, rename using the LCD. 2. subtract the whole numbers and simplify. 3
d) 5 45 − 1 10
e) 13 78 − 9 34 f)
8 23 − 2 12 ★I​
f the fraction of the first mixed number is less than the fraction of the second number, rename one or both fractions as an improper fraction (hint: borrow from the whole number). Example: 7 ­ 1 12 Method 1: Rename the Mixed Numbers
6 22 − 1 12
h. 5 38 − 4 11
12 i. 11 25 − 2 35 Method 2: Write as Improper Fraction 14
2
− 32 j. 8 − 3 34 k. 3 14 − 1 34 l. 16 − 5 56 Answer: a) 8 34 b) 7 12 c) 5 13
18 d
4 12 e) 4 18 f)
6 16 g) 5 12 h) 11
24 i)
8 45 j)
4 14 k) 1 12 l)
10 16