Simplify 3/10x + 1/6y + 3/10x + 3/6y Be sure to reduce any fractions to the lowest terms.(1 point)
The given expression is:
3/10x + 1/6y + 3/10x + 3/6y
To simplify the expression, we need to combine like terms.
We can combine the terms with the variables x and y separately.
For the x terms:
3/10x + 3/10x = (3+3)/10x = 6/10x
For the y terms:
1/6y + 3/6y = (1+3)/6y = 4/6y
Therefore, the simplified expression is:
6/10x + 4/6y
Now, we need to simplify this expression further by reducing the fractions to the lowest terms.
To reduce the fraction 6/10, we can divide both the numerator and the denominator by their greatest common factor, which is 2:
6/10 = (6/2)/(10/2) = 3/5
To reduce the fraction 4/6, we can divide both the numerator and the denominator by their greatest common factor, which is 2:
4/6 = (4/2)/(6/2) = 2/3
Therefore, the expression simplifies to:
3/5x + 2/3y