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Page 184 #1-5 ANSWERS
Student Progress Learning
ChartLesson Reflection for Chapter 4 Section 8
Math Learning
Goal
Students will understand
number theory and fractions.
Students will understand number theory and fractions by being able
to do the following:• Learn to use divisibility rules (4-1)• Learn to write prime factorizations of composite numbers
(4-2)• Learn to find the greatest common factor (GCF) of a set of
numbers (4-3)• Learn to convert between decimals and fractions (4-4)• Learn to write equivalent fractions (4-5)• Learn to use pictures and number lines to compare and
order fractions (4-6)• Learn to convert between mixed numbers and improper
fractions (4-7)
•Learn to add and subtract fractions with like denominators (4-8)
Today’s Learning Goal Assignment
Learn to add and subtract fractions with like denominators.
Course 1
4-8 Adding and Subtracting with Like Denominators
6th Grade Math HW
Page 190#1-9
Course 1
4-8 Adding and Subtracting with Like Denominators
4-8 Adding and Subtracting with Like Denominators
Course 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Course 1
4-8 Adding and Subtracting with Like Denominators
Warm UpWrite each mixed number as an improper fraction.
1. 6 2. 2
3. 3 4. 8
5. 9 6. 4
1
3__ 1
5__
1
2__
8
11__
2
7__
4
5__
19
3__ 11
5__
23
7__ 17
2__
49
5__ 52
11__
Problem of the Day
Marge has six coins that total $1.15. She cannot make change for $1.00, a half-dollar, a quarter, a dime, or a nickel. What coins does she have?
half dollar, quarter, 4 dimes
Course 1
4-8 Adding and Subtracting with Like Denominators
Today’s Learning Goal Assignment
Learn to add and subtract fractions with like denominators.
Course 1
4-8 Adding and Subtracting with Like Denominators
Additional Example 1: Application
14__
14__
12__
12__
14__
24__
+
14__ 1
4__+ =
=
After 2 hours inch of snow fell
Add the numerators. Keep the same denominator
Write your answer in simplest terms.
Snow was falling at a rate of inch per hour. How much snow fell after two hours? Write your answer in simplest form.
+ =
Course 1
4-8 Adding and Subtracting with Like Denominators
Try This: Example 1
18__
18__
14__
18__
18__
28__
+
18__ 1
8__+ =
=
After 2 hours inch of rain fell.
Add the numerators. Keep the same denominator.
Write your answer in simplest terms.
Rain was falling at a rate of inch per hour. How
much rain fell after two hours? Write your answer in simplest form.
+ =
Course 1
4-8 Adding and Subtracting with Like Denominators
Additional Example 2A: Subtracting Like Fractions and Mixed Numbers
Subtract. Write the answer in simplest form.
A. 1 –
55__ 3
5__
35__
25__
=–
To get a common denominator, rewrite 1 as a fraction with a denominator of 5.
Subtract the numerators. Keep the same denominator.
=―
Course 1
4-8 Adding and Subtracting with Like Denominators
Additional Example 2B: Subtracting Like Fractions and Mixed Numbers
Subtract. Write the answer in simplest form.
B. 5 – 2
112__
412__
– Subtract the fractions.
Then subtract the whole numbers.
=-
512__
512__5 2
112__
3
313__ Write your answer in simplest form.
Course 1
4-8 Adding and Subtracting with Like Denominators
Try This: Example 2A
Subtract. Write the answer in simplest form.
A. 1 –
66__ 2
6__
26__
46__
=–
To get a common denominator, rewrite 1 as a fraction with a denominator of 6.
Subtract the numerators. Keep the same denominator.
=–
Course 1
4-8 Adding and Subtracting with Like Denominators
Try This: Example 2B
412__
312__
– Subtract the fractions.
Then subtract the whole numbers.
=-
712__
712__4 2
412__
2
214__ Write your answer in simplest form.
Subtract. Write the answer in simplest form.
B. 4 – 2
Course 1
4-8 Adding and Subtracting with Like Denominators
Evaluate the expression for x = . Write each answer in simplest form.
59__A.
29__
59__
59__
–
–
– x
x
29__ 3
9__
=
13__=
Write the expression.
Substitute for x and subtract the
numerators. Keep the same denominator.
Write your answer in simplest form.
29__
Course 1
4-8 Adding and Subtracting with Like Denominators
Additional Example 3A: Evaluating Expressions with Fractions
Evaluate the expression for x = . Write each answer in simplest form.
49__B.
29__
49__
49__
+
+
+x
x
29__ 6
9__=
23__
=
Write the expression.
Substitute for x. Add the
fractions. Then add the whole numbers.
Write your answer in simplest form.
29__
2
2
2 2
2 , or83__
Course 1
4-8 Adding and Subtracting with Like Denominators
Additional Example 3B: Evaluating Expressions with Fractions
Evaluate the expression for x = . Write each answer in simplest form.
89__C.
29__
89__
89__
+
+
+x
x
29__ 10
9__=
Write the expression.
Substitute for x and subtract
the numerators. Keep the same denominator.
29__
1, or19__
Course 1
4-8 Adding and Subtracting with Like Denominators
Additional Example 3C: Evaluating Expressions with Fractions
Try This: Example 3A
Evaluate the expression for x = . Write each answer in simplest form.
46__A.
26__
46__
46__
–
–
– x
x
26__ 2
6__
=
13__=
Write the expression.
Substitute for x and subtract the
numerators. Keep the same denominator.
Write your answer in simplest form.
26__
Course 1
4-8 Adding and Subtracting with Like Denominators
Try This: Example 3B
Evaluate the expression for x = . Write each answer in simplest form.
16__B.
26__
16__
16__
+
+
+x
x
26__ 3
6__=
12__
=
Write the expression.
Substitute for x and subtract
the numerators. Keep the same denominator.
Write your answer in simplest form.
26__
3
3
3 3
3
Course 1
4-8 Adding and Subtracting with Like Denominators
Try This: Example 3C
Evaluate the expression for x = . Write each answer in simplest form.
56__C.
26__
56__
56__
+
+
+x
x
26__ 7
6__=
Write the expression.
Substitute for x and subtract
the numerators. Keep the same denominator.
26__
1, or16__
Course 1
4-8 Adding and Subtracting with Like Denominators
Lesson Quiz
Add or subtract. Write each answer in simplest form.
1. 1 – 2. 1 –
4. Evaluate – x for x = .
911__
310__
89__
110__
621__16
21___
34__
211__ 1
9__
25__
1021__
6
3 miles
3. 2 + 4
5. Weston walks of a mile every day. How far
will he have walked in 4 days?
Course 1
4-8 Adding and Subtracting with Like Denominators
