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
(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
List factors of each number and circle the match.
Divide by the match.
GCF of 72 and 144 is 72.
72 divided by 72 = 1
144 divided by 72 = 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?
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)
Use prime factorization to simplify this fraction:
64/92
64 = 2 x 2 x 2 x 2 x 2 x 2
92 = 2 x 2 x 23
Cross out common factors on top and bottom. This leaves you with:
64= 2 x 2 x 2 x 2 (16)
92= 23 (23)
16/23
Estimate the sum of fractions (use closest to 0, 1/2, or 1 for the fraction part):
2 1/7 + 1 3/7
(2 + 1 1/2) = 3 1/2
1 2/5 + 3 1/3
4 11/15
1 2/5 = 1 6/15
3 1/3 = 3 5/15
Add together to get 4 11/15
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
First, find the rule (add 3/16). Keep adding 3/16 until you get to 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
6 - 2/6
5 4/6 (Simplified would be 5 2/3)
Regroup by taking one from the 6 and making it 5 and 6/6 (which is equal to 6). Then, you are able to subtract 2/6 from 6/6 to get 4/6.
What is the common denominator of 3/4 and 5/6?
The common denominator is 12.
LCM of 4: 4, 8, 12
LCM of 6: 6, 12