Simplify 3/10x+1/6y+ 3/10x+3/6y be ready 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.
First, let's combine the terms with the same variables:
(3/10x + 3/10x) + (1/6y + 3/6y)
Combining the x-terms, we have:
6/10x + 1/6y + 3/6y
Next, let's combine the y-terms:
6/10x + (1/6y + 3/6y)
Simplifying the y-terms:
6/10x + 4/6y
To reduce the fractions, we can find the lowest common denominator (LCD) for 10 and 6, which is 30:
(6/10) * (3/3) = 18/30x
(4/6) * (5/5) = 20/30y
Thus, the simplified expression is:
18/30x + 20/30y (or, simplified further: 3/5x + 2/3y)