Improper Fractions and Mixed Numbers
Write the improper fraction as a mixed number: 5/2
2 1/2
Simplify the fraction: 8/28
2/7
GCF is 4. 8 divided by 4 = 2 (numerator).
28 divided by 4 = 7 (denominator).
Estimate if the fraction is closest to 0, 1/2, or 1:
8/9
1
4 2/5 + 3 1/10
4 4/10 + 3 1/10 = 7 5/10 = 7 1/2
*Answers must be simplified
Name the property that this equation uses:
4/9 + (3/6 + 4/18) = 4/9 + (4/18 + 3/6)
Commutative Property
(Switched order of fractions within the parenthesis)
Write the mixed number as an improper fraction: 4 1/3
13/3
Simplify the mixed number : 2 9/36
2 1/4
Estimate if the fraction is closest to 0, 1/2, or 1:
4/7
1/2
8 7/8 + 3 18/24
8 21/24 + 3 18/24 = 11 39/24
12 15/24 = 12 5/8
*Answer must be simplified (GCF is 3: 3 goes into 15 five times and 3 goes into 24 eight times)
(5/10 + 2/5) + 1/20 = 5/10 + (2/5 + 1/20)
Associative Property
(The order of the fractions does not change, but the placement of the parenthesis are different. In other words, the parenthesis are associated with different numbers).
Write the improper fraction as a mixed number and simplified: 26/12
2 2/12 = 2 1/6
Write the fraction in its simplest form: 72/144
1/2
Estimate if the fractions are closest to 0, 1/2, or 1, then add or subtract:
1/4 + 5/9
(0 + 1/2) = 1/2
8 6/9 - 4 2/3
8 6/9 - 4 6/9 = 4
John uses a rule to write the following sequence of numbers:
3 7/8, 4 1/8, ____, 4 5/8, ____
What are the missing fractions? How do you get from one fraction to another?
4 3/8 and 4 7/8
*The rule is to add 2/8
Write the mixed number as an improper fraction:
3 13/14
55/14
3 x 14 = 42 + 13 = 55 (numerator)
over 14 (denominator)
Simplify:
64/72
8/9
Estimate if the sum of fractions are closest to 0, 1/2, or 1:
2 1/7 + 1 3/7
(2 + 1 1/2) = 3 1/2
1 2/5 + 3 1/3 + 3/5
5 1/3
Can be solved 2 ways.
(Using addition properties, add denominators that are the same first. 1 2/5 and 3/5 can be added together to get 2. Then add to 3 and 1/3 to get 5 1/3. Or, convert denominators and add. LCM is 15).
Jack ate 1/16 of his candy bar by Monday, 1/4 by Tuesday, and 7/16 by Wednesday. How much of the bar did he eat by Saturday?
1/16 by Monday
1/4 = 4/16 by Tuesday
7/16 by Wednesday
10/16 by Thursday
13/16 by Friday
16/16 = all the bar is eaten by Saturday
Write the improper fraction as a mixed number: 23/8
2 7/8
(23 divided by 8 = 2 with a remainder of 7. This 7 goes in the numerator over 8 (divisor) which goes in the denominator).
Bob bought vegetables for animals on his farm. He bought 4 1/4 pounds of corn and 6 2/8 pounds of carrots. He also bought 3/16 pounds of fruit. How many pounds of vegetables did he buy? Write an equation and solve.
4 1/4 + 6 2/8 = x
10 4/8 = 10 1/2 pounds of vegetables were purchased
*You do not calculate in the fruit!
Estimate if each of the fractions are closest to 0, 1/2, or 1 and then add: 2/3 + 4/5
(1/2 + 1) = 1 1/2
OR
(1 + 1) = 2
3/4 + 7/8 + 1/2
6/8 + 7/8 + 4/8 = 17/8 = 2 1/8
Solve.
(4/5 + 3/6) + 3/5 = ?
(4/5 + 3/5) + 3/6
7/5 + 3/6
42/30 + 15/30 = 57/30
1 27/30= 1 9/10