Addition
Evaluate the expression shown below and write your answer as a fraction in simplest form.
7 / 4 + (- 4 / 7)
33 / 28
Evaluate the expression shown below and write your answer as a fraction in simplest form.
(- 1 / 17) - (12 / 17)
- 13 / 17
Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
- 2 / 3 * - 1 / 2
1 / 3
Solve for all values of x:
- 9 - (x) / (x - 7) = (7) / (x - 7)
x = 5.6
Find the expression of the perimeter of a rectangle whose width is (2x) / (x - 2) and whose length is (5x + 2) / (x + 5)
2(7x2 + 2x - 4) / ((x + 5)(x - 2))
Combine the following fractions and express in fully reduced form.
(- 2 / 8x) + (5 / 8x)
3 / 8x
Combine the following fractions and express in fully reduced form.
(- 4) / (4x - 5) - (3) / (4x - 5)
(- 7) / (4x - 5)
Perform the following operation and express in simplest form.
(3x) / (x - 5) * (x2 + 4x - 45) / (x2 + 2x - 63)
(3x) / (x - 7)
Solve for all values of x.
x - (x + 5) / (x + 8) = (3) / (x + 8)
x = - 8, 1
Find the expression for area of a rectangle whose width is (x + 7) / (x + 8) and whose length is (x2 + x - 56) / (x2 - 49)
1
Combine the following fractions and express in fully reduced form.
7 / 9x + 1 / 2x
23 / 18x
Combine the following fractions and express in fully reduced form.
(2x / 5) - (7x / 9)
- 17x / 45
Perform the following operation and express in simplest form.
(x2 - 36) / (3x + 18) / (x2 + x - 42) / (3x2)
Solve for all values of x:
(x) / (x + 1) + 3 = (1) / (x2 + x)
x = - 1, 1 / 4
The sum of a number and its reciprocal is 2. Find all such numbers
x = 1
Fully simplify to one fraction.
(2x + 7) / (x - 6) + (2) / (6 - x)
(2x + 5) / (6 - x)
(5x + 1) / (x2 + 5x - 6) - (1) / (x + 6)
(4x + 2) / ((x - 1)(x + 6))
Fully simplify the expression below and write your answer as a single fraction.
(x5 - 12x4 + 27x3) / (x + 6) * (2x2 - 72) / (6x2 - 90x + 324)
(x3(x - 3)) / (3)
Solve for all values of x.
(2) / (x + 6) + (3x + 7) / (x - 6) = (2x + 1) / (x - 6)
x = - 12, - 2
The difference of a number and its reciprocal is: - 27 / 8
Find all such numbers.
x = - 3.649, 0.274
Fully simplify to one fraction.
7 + (3x) / (x - 5)
(10x - 35) / (x - 5)
Fully simplify to one fraction.
(7) / (x2 + 2x - 35) - (5x) / (x + 7)
(- 5x2 + 25x + 7) / ((x - 5)(x + 7))
Fully simplify the expression below and write your answer as a single fraction.
(6x2 - 600) / (3x - 30) * (x2 - 100) / (x2(x+10)(x+10))
(2(x - 10)) / (x2)
Solve for all values of x.
(5) / (x - 1) + (x) / (x - 2) = (2) / (x2 - 3x + 2)
x = - 6, 2
fifteen divided by the sum of a number and eight is equivalent to twenty five divided by the difference of the same number and four. Solve for all possible numbers.
x = - 26