Would some one look at these problems and see if I got them right Thanks Just let me if they are wrong so I can go back over them
1.Write in simplest form 48/56
A. 6/7
2.Multiply 8x^3/5 *10/x^3
A. 16/x^4
3.Divide 4/x^7 / 12/x^3
A. 1/3x^2
4. divide x^2-36y^2/5x^2+30y / (x^26xy)
A. (x+6y)/(5x)(x^2+6y)
5.Subtract. Express your answer in simpliest form
3x/14-x/14
A. x/7
6.Add. Express your answer in simplest form. x^2/x+1 + 5x+4/x+1
A. x+4
7.Add. Express your answer in simplest form.
2x/x^2+15x+54 + 4/x+6
A. 6/x+9
8.Solve. x/7 - 1/2 = x-11/2
A. x=14
9.solve 9/x-5 -1= 8/x+5
A. x= -10 and 11
10.Solve 2/3 = 12/x
A. x=18
11. Simplify 6/8 over 2/18
A.39/4
1.Write in simplest form 48/56
A. 6/7 OK
2.Multiply 8x^3/5 *10/x^3
A. 16/x^4 NO
3.Divide 4/x^7 / 12/x^3
A. 1/3x^2 NO
4. divide x^2-36y^2/5x^2+30y / (x^26xy)
A. (x+6y)/(5x)(x^2+6y) I can't tell what the problem is.
5.Subtract. Express your answer in simpliest form
3x/14-x/14
A. x/7 OK
6.Add. Express your answer in simplest form. x^2/x+1 + 5x+4/x+1
A. x+4 OK
7.Add. Express your answer in simplest form.
2x/x^2+15x+54 + 4/x+6
A. 6/x+9 I don't know what the problem is.
8.Solve. x/7 - 1/2 = x-11/2
A. x=14 OK if the problem is
(x/7)-1/2 = (x-11)/2
9.solve 9/x-5 -1= 8/x+5
A. x= -10 and 11 I don't know the problem.
10.Solve 2/3 = 12/x
A. x=18 OK
11. Simplify 6/8 over 2/18
A.39/4 NO
Check my arithmetic.
x/6+5x/21
Express each quotient in the simplest form.20xy^3/6z) / (2xy/18z^5)
Multiply 2/3 by 1 1/4. Write the answer in simplest form
Let's go through each problem and check the answers:
1. Write in simplest form 48/56
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator (48) and denominator (56) and then divide both by that number.
GCD of 48 and 56 is 8. Dividing both by 8, we get 6/7.
The simplified form is 6/7. Your answer is correct.
2. Multiply 8x^3/5 *10/x^3
To multiply fractions, we multiply the numerators together and the denominators together.
(8 * 10)/(5 * x^3 * x^3) = 80/(5x^6) = 16/x^6
Your answer is incorrect. The correct answer is 16/x^6.
3. Divide 4/x^7 / 12/x^3
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(4/x^7) * (x^3/12) = (4 * x^3) / (x^7 * 12) = (4x^3)/(12x^7) = 1/(3x^4)
Your answer is incorrect. The correct answer is 1/(3x^4).
4. Divide (x^2-36y^2)/(5x^2+30y) / (x^2+6xy)
We need to simplify this expression.
It seems that there is a typo in the expression you provided. There is a missing operator before (x^26xy), and (x^26xy) itself seems incorrect. Please provide the correct expression so I can help you further.
5. Subtract. Express your answer in simplest form
3x/14 - x/14
To subtract fractions, we need a common denominator, which is already provided (14).
(3x - x)/14 = 2x/14 = x/7
Your answer is correct.
6. Add. Express your answer in simplest form.
x^2/(x+1) + (5x+4)/(x+1)
To add fractions, we need a common denominator, which is already provided (x+1).
(x^2 + 5x + 4)/(x+1)
The numerator cannot be simplified further. Your answer, x+4, is correct.
7. Add. Express your answer in simplest form.
2x/(x^2+15x+54) + 4/(x+6)
We need a common denominator, which is already provided (x^2+15x+54).
(2x + 4(x^2+15x+54))/(x^2+15x+54) = (2x + 4x^2 + 60x + 216)/(x^2+15x+54) = (4x^2 + 62x + 216)/(x^2+15x+54)
The numerator and denominator cannot be further simplified. Without the correct problem, I cannot provide an answer.
8. Solve. x/7 - 1/2 = (x-11)/2
To solve equations with fractions, we need to eliminate the fractions by finding a common denominator, which is already provided (2).
Multiply the entire equation by 2 to get rid of the denominators:
2 * (x/7) - 2 * (1/2) = 2 * ((x-11)/2)
2x/7 - 1 = x - 11
Multiply both sides by 7 to eliminate the fraction in the first term:
2x - 7 = 7x - 77
Subtract 2x from both sides:
7 - 2 = 7x - 2x - 77
5 = 5x - 77
Add 77 to both sides:
82 = 5x
Divide both sides by 5:
x = 82/5 = 16.4
Your answer is incorrect. The correct answer is x = 16.4.
9. Solve 9/(x-5) - 1 = 8/(x+5)
To solve equations, we need to simplify the equation and isolate the variable.
Multiply both sides by (x-5) and (x+5) to eliminate the denominators:
9(x+5) - (x-5)(x+5) = 8(x-5)
Simplify and distribute:
9x + 45 - (x^2 - 25) = 8x - 40
Remove the parentheses and rearrange:
9x + 45 - x^2 + 25 = 8x - 40
Combine like terms:
9x - x^2 + 70 = 8x - 40
Rearrange to get a quadratic equation:
x^2 - x - 110 = 0
This equation can be factored as (x+10)(x-11) = 0
Setting each factor equal to zero:
x+10 = 0 or x-11 = 0
Solving for x:
x = -10 or x = 11
Your answer is correct.
10. Solve 2/3 = 12/x
To solve equations with fractions, we need to isolate the variable.
Multiply both sides by x to eliminate the fraction:
2x = 12
Divide both sides by 2:
x = 6
Your answer is correct.
11. Simplify 6/8 over 2/18
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(6/8) * (18/2) = (6 * 18) / (8 * 2) = 108/16
This fraction can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD), which is 4:
108/16 = 27/4
Your answer is incorrect. The correct answer is 27/4.
Please double-check your work for problems 2, 3, 4, 7, and 11.