adding/subtracting fractions and mixed numbers€¦ · lesson 1 3 add sub fractions.notebook august...
TRANSCRIPT
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
There are two ways to find a common denominator...
Find the least common multiple of the denominators
Multiply the denominators together
Copy Notes Copy Notes
Adding/Subtracting Fractions and Mixed Numbers
Find a common denominator if necessary.Change the numerator to match the new value of the denominator.Add/Subtract Numerators, keep the denominator the same.Simplify fraction to lowest terms if needed.
Addition and subtraction of fractions with "LIKE" denominatorsrequires that you combine only the numerators.
310 10
1+
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Addition and subtraction of fractions with "LIKE" denominatorsrequires that you combine only the numerators.
310 10
1+ 10+3 1With a common denominator,
all you do is add thenumerators together.
Addition and subtraction of fractions with "LIKE" denominatorsrequires that you combine only the numerators.
310 10
1+ 10+3 1With a common denominator,
all you do is add thenumerators together.
410
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Addition and subtraction of fractions with "LIKE" denominatorsrequires that you combine only the numerators.
310 10
1+ 10+3 1With a common denominator,
all you do is add thenumerators together.
52= Always reduce
your answer tosimplest form.
410
79
49
Follow the same rule when subtracting...
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
79
49 9
7 4If there is a commondenominator, just subtract
numerators.
Follow the same rule when subtracting...
79
49 9
7 4If there is a commondenominator, just subtract
numerators.
39
Follow the same rule when subtracting...
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
79
49 9
7 4If there is a commondenominator, just subtract
numerators.
39
13= Always reduce to
simplest form...
Follow the same rule when subtracting...
1. 2.417
1117+ 16
21721
Practice
Fractions
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
To add or subtract fractions with different denominators, you must rewrite the fractions with a common denominator.
14_
61_+
?
There are two ways to find a common denominator...
Find the least common multiple of the denominators
Multiply the denominators together
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
There are two ways to find a common denominator...
Find the least common multiple of the denominators
Multiply the denominators together
There are two ways to find a common denominator...
Find the least common multiple of the denominators
Multiply the denominators together
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Adding Fractions with Unlike Denominators
38
512+Ex.
Adding Fractions with Unlike Denominators
38
512+Ex.
Find a Common Denominator...
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Adding Fractions with Unlike Denominators
38
512+Ex.
Find a Common Denominator...
8 16 24 32 40multiples of 8
Adding Fractions with Unlike Denominators
38
512+Ex.
Find a Common Denominator...
8 16 24 32 4012 24 36 48
multiples of 8
multiples of 12
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Adding Fractions with Unlike Denominators
38
512+Ex. Common denominator
is 24....
Find a Common Denominator...
8 16 24 32 4012 24 36 48
multiples of 8
multiples of 12
Adding Fractions with Unlike Denominators
38
512+Ex. Common denominator
is 24....
Find a Common Denominator...
8 16 24 32 4012 24 36 48
multiples of 8
multiples of 12
38512+
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Adding Fractions with Unlike Denominators
38
512+Ex.
24
24+
Common denominatoris 24....
38512+
Find a Common Denominator...
8 16 24 32 4012 24 36 48
multiples of 8
multiples of 12
Adding Fractions with Unlike Denominators
38
512+Ex.
24
24+
38 .
Common denominatoris 24....
38512+
Find a Common Denominator...
8 16 24 32 4012 24 36 48
multiples of 8
multiples of 12
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Adding Fractions with Unlike Denominators
38
512+Ex.
24
24+
933 .38 .
Common denominatoris 24....
38512+
Find a Common Denominator...
8 16 24 32 4012 24 36 48
multiples of 8
multiples of 12
Adding Fractions with Unlike Denominators
38
512+Ex.
24
24+
9
12 2.
33
38..
Common denominatoris 24....
38512+
Find a Common Denominator...
8 16 24 32 4012 24 36 48
multiples of 8
multiples of 12
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Adding Fractions with Unlike Denominators
38
512+Ex.
24
24+
9
1025 .12 2.
33
38..
Common denominatoris 24....
38512+
Find a Common Denominator...
8 16 24 32 4012 24 36 48
multiples of 8
multiples of 12
Adding Fractions with Unlike Denominators
38
512+Ex.
24
24+
9
102512 2
..
33
38..
Common denominatoris 24....
38512+
Find a Common Denominator...
8 16 24 32 4012 24 36 48
multiples of 8
multiples of 12
19 Add numerators
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Adding Fractions with Unlike Denominators
38
512+Ex.
24
24+
9
102512 2
..
33
38..
Common denominatoris 24....
38512+
Find a Common Denominator...
8 16 24 32 4012 24 36 48
multiples of 8
multiples of 12
24 Keep the common denominator
19 Add numerators
Adding Fractions with Unlike Denominators
38
512+Ex.
24
24+
9
102512 2
..
33
38..
Common denominatoris 24....
38512+
Find a Common Denominator...
8 16 24 32 4012 24 36 48
multiples of 8
multiples of 12
24 Keep the common denominator
Add numerators19Can this answer reduce?
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
7 110 6
- The same rules apply to Subtraction
7 110 6
-
710
16
-
The same rules apply to Subtraction
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
7 110 6
-
710
16
-30-
30
7 110 6
-
710
16
-30-
3021
10 3.7 3.
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
7 110 6
-
710
16
-30-
3021
5
10 3.
.6 551 .
7 3.
7 110 6
-
710
16
-
1630
30-
3021
5
10 3.
.6 551 .
7 3.
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
7 110 6
-
710
16
-
1630
30-
3021
5
10 3.
.6 551 .
7 3.
÷ 2
÷ 2
7 110 6
-
710
16
-
1630
30-
3021
5
10 3.
.6 551 .
7 3.
815=
÷ 2
÷ 2
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
From January 1 to March 14, Earth completes of its orbit, while Venus completes about of its orbit. How much more of its orbit does Venus complete than Earth?
15 1
3
.
.
.
.
.
.
.
215
155
315
. 5
. 5
. 3
. 3
From January 1 to March 14, Earth completes of its orbit, while Venus completes about of its orbit. How much more of its orbit does Venus complete than Earth?
15 1
3
.
.
.
.
.
.
.
1315
215
155
315
. 5
. 5
. 3
. 3
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
From January 1 to March 14, Earth completes of its orbit, while Venus completes about of its orbit. How much more of its orbit does Venus complete than Earth?
15 1
3
.
.
.
.
.
.
.
1315
215
155
315
. 5
. 5
. 3
. 3
From January 1 to March 14, Earth completes of its orbit, while Venus completes about of its orbit. How much more of its orbit does Venus complete than Earth?
15 1
3
.
.
.
.
.
.
.
1315
215
155
315
. 5
. 5
. 3
. 3
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
From January 1 to March 14, Earth completes of its orbit, while Venus completes about of its orbit. How much more of its orbit does Venus complete than Earth?
15 1
3
.
.
.
.
.
.
.
1315
215
155
315
. 5
. 5
. 3
. 3
It took Bobby 1/2 hour to do his science homework, and 1/3 hour to do his math homework. How long
did Bobby work on homework?
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Four friends had a competition to see how far they could walk while spinning a hoop around their waists. The table shows how far each friend walked.
Person Distance (mi)
Rebecca 1/8
Seth 2/3
Justin 2/3
Monica 7/10
How much farther did Justin walk than Rebecca?
What is the combined distance that Seth and Rebecca walked?
Who walked farther Monica or Seth?
1324Answer
Mixednumbers
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Steps1. Organize and line up your problem!!!
2. Find a common denominator and re-writethe fractions.
3. Add up your fractions.
4. If improper, make it a mixed number.
5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.
6. Is your answer in simplest form?
1 242 2
3 +
1
2
+ 24
23
Steps1. Organize and line up your problem!!!
2. Find a common denominator and re-writethe fractions.
3. Add up your fractions.
4. If improper, make it a mixed number.
5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.
6. Is your answer in simplest form?
1 242 2
3 +1. Organize and line up your problem!!!
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
1
2
+ 24
23
812
+ 126
2
1
44
33
Steps1. Organize and line up your problem!!!
2. Find a common denominator and re-writethe fractions.
3. Add up your fractions.
4. If improper, make it a mixed number.
5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.
6. Is your answer in simplest form?
1 242 2
3 +2. Find a common denominator and re-write
the fractions.
1
2
+ 24
23
812
+ 126
2
1
4
Steps1. Organize and line up your problem!!!
2. Find a common denominator and re-writethe fractions.
3. Add up your fractions.
4. If improper, make it a mixed number.
5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.
6. Is your answer in simplest form?
1 242 2
3 +
1412
4
33
3. Add up your fractions.
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
1412
1
2
+ 24
23
812
+ 126
2
1
4
Steps1. Organize and line up your problem!!!
2. Find a common denominator and re-writethe fractions.
3. Add up your fractions.
4. If improper, make it a mixed number.
5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.
6. Is your answer in simplest form?
1 242 2
3 +
4
33
2121
4. If improper, make it a mixed number.
1
2
+ 24
23
812
+ 126
2
1
4
Steps1. Organize and line up your problem!!!
2. Find a common denominator and re-writethe fractions.
3. Add up your fractions.
4. If improper, make it a mixed number.
5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.
6. Is your answer in simplest form?
1 242 2
3 +
4
33
21213 +
5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.
4 122
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
1
2
+ 24
23
812
+ 126
2
1
4
Steps1. Organize and line up your problem!!!
2. Find a common denominator and re-writethe fractions.
3. Add up your fractions.
4. If improper, make it a mixed number.
5. Add your whole numbers. If you did make a mixed number, carry the whole number over for adding to the others.
6. Is your answer in simplest form?
1 242 2
3 +
4
33
2121
4 122
3 +
4 61=
6. Is your answer in simplest form?
1
1
+
65
43
Practice
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
1
3
+
74
21
Practice
How do you subtract mix numbers?
First: Line up the whole numbers under each other with their fractions 12
78
5 1724
Second: Find a LCM (Least Common Multiple)
21
17
24
24
74
24
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Subtracting Mix Fractions with Whole Numbers
How do you turn a whole number into a fraction?
=Insert Whole Number What could be a fraction that is equivalent to that whole number?
Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In
these cases, you must regroup (or borrow) before subtracting.
5
3 45
4 55
3 45
1 15
7 710
2 45
4 910
7 710
2 810
6 1710
2 810
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In
these cases, you must regroup (or borrow) before subtracting.
5
3 45
4 55
3 45
1 15
7 710
2 45
4 910
7 710
2 810
6 1710
2 810
Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In
these cases, you must regroup (or borrow) before subtracting.
5
3 45
4 55
3 45
1 15
7 710
2 45
4 910
7 710
2 810
6 1710
2 810
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In
these cases, you must regroup (or borrow) before subtracting.
5
3 45
4 55
3 45
1 15
7 710
2 45
4 910
7 710
2 810
6 1710
2 810
Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In
these cases, you must regroup (or borrow) before subtracting.
5
3 45
4 55
3 45
1 15
7 710
2 45
4 910
7 710
2 810
6 1710
2 810
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In
these cases, you must regroup (or borrow) before subtracting.
5
3 45
4 55
3 45
1 15
7 710
2 45
4 910
7 710
2 810
6 1710
2 810
Practice Problems
1). 4512 1
712-
--
=
2). 8 234
=
=
516
823
912
3). +
25
6
5 41
41
3
Lesson 1 3 Add Sub Fractions.notebook August 27, 2018
Homework
Test
Worksheet
Frida y