Simplify 9/11z - 4/11z

To simplify the expression 9/11z - 4/11z, we combine the fractions since they have the same denominator of 11z.

9/11z - 4/11z = (9 - 4)/(11z)
= 5/11z

Therefore, the simplified expression is 5/11z.

Correct

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To simplify the expression 3/10x + 1/6y + 3/10x + 3/6y, we need to combine like terms.

Group the terms with "x" and the terms with "y" separately:

(3/10x + 3/10x) + (1/6y + 3/6y)

Combining like terms separately:

6/10x + 4/6y

Now, simplify each term further:

6/10x can be reduced to 3/5x (both numerator and denominator can be divided by 2)
4/6y can be reduced to 2/3y (both numerator and denominator can be divided by 2)

Putting it all together:

(3/5x) + (2/3y)

Thx

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Simplify

3/10x + 1/6y + 3/10x + 3/6y be sure to reduce any fractions to the lowest term..

Simplify

4x + 8x using the properties of operations

To simplify the expression 4x + 8x, we can combine the like terms (terms with the same variable x) by adding their coefficients.

4x + 8x = (4 + 8)x = 12x

Therefore, the simplified expression is 12x.

Simplify

9g – 7h – 6g + 2h

To simplify the expression 9g - 7h - 6g + 2h, we need to combine like terms.

Group the terms with "g" and the terms with "h" separately:

(9g - 6g) + (-7h + 2h)

Combine like terms separately:

(9 - 6)g + (-7 + 2)h

Simplifying further:

3g - 5h

Therefore, the simplified expression is 3g - 5h.

Simplify

2a – 4b + 7 + 8a + 6b - 2

To simplify the expression 2a - 4b + 7 + 8a + 6b - 2, we can combine the like terms (terms with the same variable) and add or subtract their coefficients.

Combining the terms with "a" gives:
2a + 8a = 10a

Combining the terms with "b" gives:
-4b + 6b = 2b

Combining the constant terms gives:
7 - 2 = 5

Putting it all together, the simplified expression is:
10a + 2b + 5

Simplify

3/7x + 2/7x using properties of operations

To simplify the expression (3/7)x + (2/7)x, we can combine the like terms (terms with the same variable x) by adding their coefficients.

(3/7)x + (2/7)x = (3x/7) + (2x/7)

Since the terms have the same denominator of 7, we can add the numerators:

(3x + 2x)/7

Simplifying further:

5x/7

Therefore, the simplified expression is 5x/7.

Simplify

6/7c - 5/9d - 1/2c + 1/3d

To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we need to combine like terms.

Group the terms with "c" and the terms with "d" separately:

(6/7c - 1/2c) + (-5/9d + 1/3d)

Combine like terms separately:

(6/7 - 1/2)c + (-5/9 + 1/3)d

Now, simplify each term further:

To simplify (6/7 - 1/2), we need a common denominator, which is 14. Multiplying the numerators and denominators by the necessary factors:

(6/7) - (1/2) = (12/14) - (7/14) = 5/14

To simplify (-5/9 + 1/3), we also need a common denominator, which is 9. Multiplying the numerators and denominators by the necessary factors:

(-5/9) + (1/3) = (-15/27) + (9/27) = -6/27 = -2/9

Putting it all together:

(5/14)c + (-2/9)d

Therefore, the simplified expression is (5/14)c - (2/9)d.