Simplify 3/10x + 1/6y + 3/10x + 3/6y. Be sure to reduce any fractions to the lowest terms.
To simplify 3/10x + 1/6y + 3/10x + 3/6y, we can combine like terms. The x terms are already like terms, so we can add them together: 3/10x + 3/10x = 6/10x = 3/5x.
The y terms are also like terms, so we can add them together: 1/6y + 3/6y = 4/6y = 2/3y.
Therefore, the simplified expression is 3/5x + 2/3y.
Simplify 9x + 3y − 6 − 5x + 4y −3.
To simplify 9x + 3y - 6 - 5x + 4y - 3, we can combine like terms.
9x - 5x = 4x
3y + 4y = 7y
-6 - 3 = -9
Therefore, the simplified expression is 4x + 7y - 9.
Simplify 12e − 5f − 7e +3f
To simplify 12e - 5f - 7e + 3f, we can combine like terms.
12e - 7e = 5e
-5f + 3f = -2f
Therefore, the simplified expression is 5e - 2f.
To simplify the expression 3/10x + 1/6y + 3/10x + 3/6y, we can first combine like terms.
The like terms here are the terms with the same variable.
So, let's simplify the terms with x:
3/10x + 3/10x = (3/10 + 3/10)x
Next, let's simplify the terms with y:
1/6y + 3/6y = (1/6 + 3/6)y
Now, let's simplify the fractions:
3/10 + 3/10 = 6/10 = 3/5
1/6 + 3/6 = 4/6 = 2/3
Therefore, the simplified expression is:
(3/5)x + (2/3)y
To simplify the expression 3/10x + 1/6y + 3/10x + 3/6y, we can combine like terms.
First, let's combine the terms with the same variable, x.
3/10x + 3/10x can be added together, resulting in (3/10 + 3/10)x, which simplifies to (6/10)x.
Next, let's combine the terms with the same variable, y.
1/6y + 3/6y can be added together, resulting in (1/6 + 3/6)y, which simplifies to (4/6)y.
Now, the simplified expression becomes:
(6/10)x + (4/6)y.
To further simplify the expression, we can reduce the fractions to their lowest terms.
The fraction 6/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. So, 6/10 simplifies to 3/5.
Similarly, the fraction 4/6 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. So, 4/6 simplifies to 2/3.
Thus, the final simplified expression becomes:
(3/5)x + (2/3)y.