Simplify 3/10x + 1/6y + 3/10x + 3/6y . Be sure to reduce any fractions to the lowest terms.
To simplify the expression: 3/10x + 1/6y + 3/10x + 3/6y, we can combine the like terms by adding the coefficients together.
The like terms are 3/10x and 3/10x, which have the same variable (x) and the same denominator (10). To combine these terms, we add the numerators and keep the denominator the same:
3/10x + 3/10x = (3 + 3)/10x = 6/10x
Similarly, the like terms 1/6y and 3/6y have the same variable (y) and the same denominator (6). To combine these terms, we add the numerators and keep the denominator the same:
1/6y + 3/6y = (1 + 3)/6y = 4/6y
Therefore, simplifying the expression gives us:
6/10x + 4/6y