operations with mixed numbers. convert the following into a mixed number
TRANSCRIPT
OPERATIONS WITH MIXED NUMBERS
Convert the following into a mixed number
MIXED NUMBERS INTO IMPROPER FRACTIONS
Mixed Number → Improper Fraction1. Multiply the whole number times
the denominator2. Add your answer to the numerator3. Put that number over the
denominator
Mixed Number → Improper Fraction
1. Multiply the whole number times the denominator
2. Add your answer to the numerator3. Put that number over the denominator
522 1
2
2 12x
+ 52
Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:
92
124
Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:
203
236
Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:
175
253
Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:
194
344
Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:
193
136
Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:
435
358
Practice/Homework
ADDING AND SUBTRACTING MIXED NUMBERS
Adding Mixed Numbers
Find the sum.1
4
9
+ 31
9
1. Rewrite the fraction using LCD if denominators are different.
2. Add or subtract the fractions,
then the whole numbers.3. Simplify if possible.
45
9 In this problem, the denominators are the same, so begin with step 2.
Let’s Do More Examples!Find the sum.
14
9
31
3+ =9
3
X 3
X 3
47
9
47
8
51
4+ =8
2
X 2
X 2
99
8
= 11
8
10
1
8Add the whole numbers.
Subtracting Mixed Numbers
1
Find the Difference.
17
20
- 13
5=
20X 4
X 4 12
5
20= 1
4
33
4
- 1 1
6
=24X 6
X 6 18
14
24
=24X 4
X 4 4
= 7
12
10
7
8
41
8
6
8 = 3
4
-
1
8
2 6
2 7
12
63
4
Now You Try!Find the sum or difference.3
3
5
+ 7 9
10
45
6
- 1 1
12
=10
X 2
X 2 6
10
15
10
= 1 5
10=
1
2
11
1
2
=12
10
9
123 =
3
4
3 3
4
19
To Subtract Mixed Numbers with Regrouping.
55
- 8
18
3
20
To Subtract Mixed Numbers with Regrouping.1) Regroup by borrowing
one from the 5.
55
- 8
418
3
Copyright © 2006 by Monica Yuskaitis
21
To Subtract Mixed Numbers with Regrouping.
2) Change the 1 to 8/8.
55
- 8
418
88
3
Copyright © 2006 by Monica Yuskaitis
22
To Subtract Mixed Numberswith Regrouping.
3) Add the 1/8 plus the 8/8.
55
- 8
418
88+ = 9
83
Copyright © 2006 by Monica Yuskaitis
23
To Subtract Mixed Numbers withRegrouping.
4) Subtract the fractions.
55
- 8
418
88+ = 9
8
48
3
Copyright © 2006 by Monica Yuskaitis
24
To Subtract Mixed Numbers with Regrouping.
5) Subtract the whole numbers.
55
- 8
418
88+ = 9
8
48
3
1
Copyright © 2006 by Monica Yuskaitis
25
To Subtract Mixed Numbers with Regrouping.6) Simplify your
fraction.
55
- 8
418
88+ = 9
8
48
3
1 ÷ 44 = 1
21
Review Regrouping
Adding and Subtracting Mixed Numbers with Regrouping Pg 236 Questions 1-15