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
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
5 2/9 - 2 1/3
5 2/9 - 2 3/9 =
4 11/9 - 2 3/9 = 2 8/9
*Remember to regroup
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 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
The park track was 5/9 of a mile. If Ron ran around it twice, how far did he run?
5/9 + 5/9 = 10/9 = 1 1/9
*Answer must be simplified
Write 4/9 and 3/6 as equivalent fractions using a common denominator.
4/9 = 8/18 and 3/6 = 9/18
The LCM of 9 and 6 = 18
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
3/4 + 7/8 + 1/2
6/8 + 7/8 + 4/8 = 17/8 = 2 1/8
Which property does this equation show? Solve.
(4/5 + 3/6) + 3/5 = (4/5 + 3/5) + 3/6
Associative property.
(4/5 + 3/5) + 3/6
7/5 + 3/6
42/30 + 15/30 = 57/30
1 27/30= 1 9/10