simplify 12e - 5f - 7e + 3f.
12e - 5f - 7e + 3f can be simplified to:
(12e - 7e) + (-5f + 3f)
Combining like terms, we get:
5e - 2f
9x + 3y - 6 - 5x + 4y - 3 can be simplified to:
(9x - 5x) + (3y + 4y) + (-6 - 3)
Combining like terms, we get:
4x + 7y - 9
Simplify 9/11z - 4/11z.
To simplify 9/11z - 4/11z, we need to find a common denominator, which in this case is 11z.
The fractions have the same denominator, so we can subtract the numerators:
(9 - 4)/(11z)
Simplifying the numerator, we get:
5/(11z)
Therefore, the simplified expression is 5/(11z).
Simplify 3/10z + 1/6y + 3/10z + 3/6y. Be sure to reduce any fractions to the lowest terms.
To simplify 3/10z + 1/6y + 3/10z + 3/6y, we can combine like terms:
First, let's combine the terms with z:
3/10z + 3/10z
This can be simplified to:
6/10z
Simplifying the numerator, we get:
3/5z
Next, let's combine the terms with y:
1/6y + 3/6y
This can be simplified to:
4/6y
Simplifying the numerator, we get:
2/3y
Therefore, the simplified expression is:
3/5z + 2/3y
Reduce any fractions to the lowest terms.
To reduce the fractions 3/5z and 2/3y to their lowest terms, we will simplify the numerators and denominators separately:
For 3/5z: The numerator (3) and denominator (5z) do not have any factors in common other than 1, so this fraction is already in its simplest form.
For 2/3y: The numerator (2) and denominator (3y) do not have any factors in common other than 1, so this fraction is also already in its simplest form.
Therefore, the simplified expression remains:
3/5z + 2/3y
I’m scared to say it’s not right.
I'm sorry if there was a mistake. Let me break down the simplification process step-by-step:
The original expression is: 3/10z + 1/6y + 3/10z + 3/6y
First, let's combine the terms with z:
3/10z + 3/10z = 6/10z
Next, let's combine the terms with y:
1/6y + 3/6y = 4/6y
Now, we will simplify the fractions separately.
For 6/10z, we can divide both the numerator and denominator by their greatest common factor, which is 2:
6/10z = (6/2)/(10/2)z = 3/5z
For 4/6y, we can also divide both the numerator and denominator by their greatest common factor, which is 2:
4/6y = (4/2)/(6/2)y = 2/3y
Therefore, the simplified expression is:
3/5z + 2/3y
If there is any confusion or further question, please let me know!