Addition
Add and simplify completely.
-1/2+1/3
-1/6
Subtract and simplify completely
(-2/15)-(10/15)
Answer
(-4)/5
Multiply, simplify completely, and write answer as a mixed number if possible.
2 4/3*-6/7
-2 6/7
Divide and simplify completely
(-66)/6
-11
Change into an improper fraction
-8 1/3
-25/3
Solve for x:
3/4x=5/6
Answer:
x=10/9
Simplify:
24-:4(-3)
Answer:
-18
Solve the following problem:
Sarah has 12 stickers. She gives 1/4 of them to her brother. How many stickers did she give to her brother?
Answer: 3 stickers
Add and simplify completely
-1/2+1/3
Answer
-7/12
Subtract and simplify completely
5/14-11/21
Answer:
-1/6
Multiply and simplify completely.
-75/50*-20/50*5/36
1/6
Divide and simplify completely
(-72)/(-4)
18
Determine which fraction is larger.
-3/7 _____ -3/8
-3/7 _<_ -3/8
Solve for y:
y-3/4=5/8
Solution:
y=11/8
Simplify completely
3/4-(-2/3)(-1/4)
Answer:
7/12
On Friday, many of the students were missing in Bonnie's class. 1/8 the class went to a basketball tournament and 1/8 of the class called in sick. What fraction of the class was in school?
Answer: 3/4 of the class
Add and simplify completely.
1/6+(5y)/8
Answer:
(4+15y)/24
Subtract and simplify completely
5/6-(2y)/3
Answer:
(5-4y)/6
Multiply and simplify completely.
(3x^2)/(2y)*(4y^3)/(3x^5)
(2y^2)/x^3
Divide and simplify completely
(15)/(7x^4) -: (35)/(28x^8)
Answer
12/(7x^4)
Determine if the number is divisible by 2, 3, 4, 5, 6, 9 or 10.
309,105
3, 6, 9
Solve for a:
2/3a-1/5=8
Solution:
a=123/10
Simplify completely:
(3/4-7/8)-:(-5/16)
Answer:
2/5
Joe had 5 pizzas. He ate 2 1/6 of them and gave 1 1/4 to his sister. How many pizzas did he have left?
Answer:
1 7/12 pizzas
Add and simplify completely:
3/a+b/2
Answer:
(6+ab)/(2a)
Subtract and simplify completely.
2/x-3/y
2y-3x
Multiply and Simplify Completely
(81n)/25*(85n^5)/(27n^3)
(51n^3)/5
Divide and simplify completely
(-6x^3)/(18x^5) -: (8x^7)/(12x^2)
-1/(2x^7)
A triangle has a base of 20 meters, one side that is 12 1/4 meters, and the third side is 8 1/2 meters. It is 5 1/3 meters tall. What is the area of the triangle? Write your answer as a mixed number.
Answer:
The area is 53 1/3 square meters.
Solve for c:
3/7c+3/14=2/7-5/14
Answer:
-2/3
Simplify completely:
-1/2(4/3-8/3)+(3/4*2/3)
Answer:
7/6
A train arrives at the station with 150 passengers on board. Two-fifths of the passengers get off the train in Seattle, and then 35 passengers board the train. How many passengers are on the train when it leaves the station?
Answer:
125 passengers
Add and simplify completely:
(ac)/(2ab^2)+(5ac)/(6a^2bc)
Answer:
(a^2c^2+5abc)/(6a^2b^2c)
Subtract and simplify completely.
(3y)/(2x^2)-(4z)/(6xy)
(9y^2-4xz)/(6x^2y)
Multiply and simplify completely
(93m^3n^2)/(m^2n)*(m^4n^3)/(51m^6n)
(21n^3)/(17m)
Divide and simplify completely
(-10x^4y^8)/(8x^3y^7) -: (2x^9y^5)/(-64x^8y^10)
Answer
40x^6
Simplify completely:
-(15/18)^2
-25/36
Solve w:
(w+1)/2-(w-7)/6=3
Answer:
w=5
Simplify completely:
3/5(10-5/2)+(-2/3)-:4/9
Answer: 3
Of 100 children in Grades 5 and 6, three-quarters have pets; 40 children have a dog, and 18 children have a cat. How many children have other kinds of pets?
Answer:
17 children have other kinds of pets.