6.6a Solve problems that involve +, -, x, and / with fractions and mixed numbers, with and without...
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Transcript of 6.6a Solve problems that involve +, -, x, and / with fractions and mixed numbers, with and without...
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6.6a
Solve problems that involve +, -, x, and / with fractions and mixed numbers, with and
without regrouping
![Page 2: 6.6a Solve problems that involve +, -, x, and / with fractions and mixed numbers, with and without regrouping.](https://reader036.fdocuments.us/reader036/viewer/2022082711/56649ee75503460f94bf75c6/html5/thumbnails/2.jpg)
Question:
Info: Key Words Operation
Solve: (show your work) Final Answer:
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SOL 6.6a pg 30
STUDENTS ARE GIVEN A HANOUT FOR THIS WITH KEY WORDS, EXAMPLES, AND THE SOLVE CHART
addition The act or process of combining numerical values, so as to find their sum
sum An amount obtained as a result of adding numbers subtraction The arithmetic operation of finding the difference
between two quantities or numbers difference An amount obtained as a result of subtracting
numbers multiplication An arithmetic operation that is equivalent to
repeated addition; the inverse of division; the product of two numbers is computed; "the multiplication of four by three gives twelve"; "four times three equals twelve".
reciprocal Any two numbers whose product is 1. Example: ½ and 2 are reciprocals because ½ X 2 = 1 product An amount obtained as a result of multiplying
numbers division The operation of determining how many times one
quantity is contained in another; the inverse of multiplication.
quotient An amount obtained as a result of dividing numbers
numerator The expression written above the line in a fraction
denominator The expression written below the line in a fraction that indicates the number of parts into which one whole is divided.
improper fraction A fraction in which the numerator is larger than or equal to the denominator. The value of an improper fraction is greater than or equal to one.
mixed number A numerical value that combines a whole number and a fraction
simplest form A fraction is in simplest form when the greatest common factor of the numerator and denominator is 1.
simplify To reduce the numerator and the denominator in a fraction to the smallest form possible. To divide the numerator and denominator by the GCF is simplifying a fraction.
LCD The least common multiple of the denominators of two or more fractions. Example: 6 is the least common denominator of 2/3 and 1/6.
estimate To make an approximate or rough calculation, often based on rounding
Pg. 29
Improper Fractions the numerator part greater or equal to the
denominator ex-17/2 or 5/5
How to make an improper to a mixed:DIVIDE the numerator by the denominatorPractice- 1. 5/2 2. 14/8 3. 4/4
Mixed Fractions a whole number plus a fraction ex-2 ½ or 1 ¼ . How to make a mixed an improper:Multiply the whole number by the denominator,
then add on the numerator. This is your new numerator. The denominator stays the same!
Practice- 1. 2 ¼ 2. 5 ¾ 3. 4 1/5
Remember to simplify whenever possible (GCF)!
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Adding Fractions pg 32Find the least common denominator (LCM) and make equivalent fractions
2/3 = 8 /12
+ 3/4 = 9 /12
17/12 = 1 5/12
With mixed numbers you can change your mixed to improper then equivalents
3 ½ = 7/2 = 14 /4+ 2 ¾ = 11/4 = 11/4
25/4= 6 ¼
Or make equivalents and regroup 3 ½ = 2 /4+ 2 ¾ = 3 /4 5 5/4 = 6 ¼
Pg 31
Practice
1. 4/5 + ¾
2. 3 ¾ + 2 ½
3. 7/12 + 5/6
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Pg 33 Practice
1. 5/8 – 5/12=
2. 2 7/8- 5/6=
3. 10 – 4 ¾ =
Subtracting Fractions pg 34
Find the least common denominator (LCM) and make equivalent fractions
2/3 = 8 /12
- 1/4 = 3 /12 5/12
With mixed numbers you can change your mixed to improper then equivalents
4 ½ = 9/2 = 18 /4- 2 ¾ = 11/4 = 11/4
7/4 = 1 ¾
Or make equivalents and regroup 4 ½ = 4 2 /4 (borrow) 3 2/4 + 4/4= 3 6/4-2 ¾ = 2 ¾ 2 ¾- 1 ¾