Download Lesson 5-8 Adding and Subtracting Mixed Numbers

MSM6
Lesson 5-8
Adding and Subtracting
Mixed Numbers
Vocabulary
a
b
• Fraction – A number in the form , where b ≠ 0.
• Mixed Number – A number that contains both a
whole number greater than 0 and a fraction.
• Equivalent Fractions – Fractions that name the same
amount or part.
• Unlike Fractions – Fractions with different
denominators.
• Least Common Denominator (LCD) – The least
common multiple (LCM) of two or more
denominators.
Skills – Retaining Mixed Numbers
1
1
7 3
12
3
• Least Common Denominator (Retaining Mixed
Number)
– Find a least common denominator for 12 and 3
• LCD is 12
– Write equivalent mixed numbers with the LCD.
1
1 4
4
1
3 3
1
7
and
3
3  4 12
12
1 4 5
 
– Add the fractions
12 12 12
– and then the whole numbers.
7 + 3 = 10
– Simplify (if required) the mixed number 10 5
12
Skills – Retaining Mixed Numbers
1 1
3 1
4 6
• Least Common Denominator (Retaining Mixed
Number)
– Find a least common denominator for 4 and 6
• LCD is 12
– Write equivalent mixed numbers with the LCD
1
1 3
3
1
1 2
2
3 3
3
1 1
1
and
4
43
12
6
6  2 12
3 2 1
 
– Subtract (Add) the fractions
12 12 12
– and then the whole numbers.
3 – 1 = 2.
1
2
– Simplify (if required) the mixed number. 12
Homework
• (L5-8) Add and Subtract with Unlike
Denominators, pp. 246 – 249
• Homework - Online Quia Other Quizzes,
MSM6 Lesson 5-8, Add and Subtract with
Unlike Denominators, problems 1-6.
• OR
• Homework – Textbook, Practice and Problem
Solving, p. 248, problems 12, 16, 22, 24, 28,
and 30.