Mixed Numbers and
Improper Fractions
Improper Fractions
What is 3 1/2 as an improper fraction?
7/2
Write a division equation and then solve:
How many 2/3s are in 5?
5 divided by 2/3 = 7 1/2
Find the area of a square with a side length of 2/3 inch
4/9 in2
What is the volume of the rectangular prism with a length of 5 ft., width of 3ft., and height of 4/5 ft.
60/5 = 12 ft3
How many 1in cubes would fit in a rectangular prism that has the following dimensions:
length 3in
width 2in
height 6in
36 cubes
What is 10 3/4 as an improper fraction?
43/4
Write a multiplication and division equation and solve;
What times 2/4 is 1 3/5
? x 2/4 = 1 3/5
1 3/5 divided by 2/4 = 3 1/5
Find the area of a rectangle with a length of 2/3 inch and width of 5/7
10/21 in2
What is the volume of the rectangular prism with a length of 1/2 ft., width of 3/4 ft., and height of 4/5 ft.
12/40 = 3/10 cubic feet
How many 1/4in cubes would fit in a rectangular prism that has the following dimensions:
length 2in
width 4in
height 2in
length = 2x4 = 8 cubes
width = 4 x 4= 16 cubes
height = 2 x 4 = 8 cubes
8 x 16 x 8 = 1,024 cubes
What is 16/3 as a mixed number?
5 1/3
Write a multiplication and division equation for:
How many 3/4s are in 4/7?
? x 3/4 = 4/7
4/7 divided by 3/4 = ?
16/21
Find the area of a triangle with a base of 2/3 inch and a height of 1/2 inch . Don't forget to SIMPLIFY
(Remember Area= 1/2 x Base x Height)
2/12 = 1/6 in2
What is the volume of the rectangular prism with a length of 2 5/6 ft., width of 1/2 ft., and height of 4/5 ft.
68/60 = 1 2/15 cubic feet
How many 1/2 in cubes would fit in a rectangular prism that has the following dimensions:
length 4in
width 6 in
height 5 in
960 cubes
What is 57/6 as an mixed number?
9 3/6 or 9 1/2
Write a multiplication and division equation for:
What times 3 2/5 is 25/68?
? x 3 2/5 = 1 1/4
1 1/4 divided by 3 2/5 = ?
25/68
Find the area of a triangle with a base of 1 2/3 inch and a height of 3/4 inch
(Remember Area= 1/2 x Base x Height)
15/24 = 5/8 in2
A pool in the shape of a rectangular prism is being filled with water. The length and width of the pool is 24 feet and 15 feet. If the height of the water in the pool is 11 feet, what is the volume of the water in cubic feet?
3,960 cubic feet
How many 1/3 in cubes would fit in a rectangular prism that has the following dimensions:
length 3 1/3 in
width 5 2/3 in
height 6 in
length = 3 1/3 x3 = 10 cubes
width = 5 2/3 x 3 = 17 cubes
height = 6 x 3 = 18 cubes
10 x 17 x 18 = 3,060 cubes
Is 38/10 in simplest form?
If not, simplify (change into a mixed number)
No.
When the NUMERATOR is larger than the denominator, it is an improper fraction. It can be changed to a mixed number by dividing top by the bottom. 38 divided by 10
3 8/10 can still be simplified to 3 4/5 because 2 goes evenly into the numerator and denominator.
Final answer: 3 4/5
Write a multiplication and division equation for:
How many 2 1/4s are in 3 1/2?
? x 2 1/4 = 3 1/2
3 1/2 divided by 2 1/4 = ?
1 5/9
Find the width of a rectangle with an Area of 6 2/3 square inches and length of 2 2/3 inches?
A = bh
6 2/3 = 2 2/3 x ?
6 2/3 divided by 2 2/3 = 2 1/2 inches
2 1/2 inches
Before refrigerators existed, some people had blocks of ice delivered to their homes. A delivery wagon had a storage box in the shape of a rectangular prism with a volume of 270 ft3
It was 7 1/2 feet long by 6 feet wide. What was the height of the box?
V = L x W x H
270 = 7.5 x 6 x ?
270 = 45 x ?
270/45 = 6
height = 6 ft.
How many 1/5 in cubes would fit in a rectangular prism that has the following dimensions:
length 2 3/5 in
width 4 2/5 in
height 3 1/5 in
length = 2 3/5 x 5 = 13 cubes
width = 4 2/5 x 5 = 22 cubes
height = 3 1/5 x 5 = 16 cubes
13 x 22 x 16 = 4,576 cubes