Simplify 3/10x + 1/6y + 3/10x + 3/6y. Be sure to reduce any fractions to the lowest terms.(1 point)

3 answers

To simplify the expression 3/10x + 1/6y + 3/10x + 3/6y, we can combine like terms.

First, let's combine the terms with x.
We have 3/10x + 3/10x. To add these fractions, we need a common denominator of 10.
So, we can rewrite the term as (3/10 + 3/10)x = (6/10)x = (3/5)x.

Next, let's combine the terms with y.
We have 1/6y + 3/6y. To add these fractions, we need a common denominator of 6.
So, we can rewrite the term as (1/6 + 3/6)y = (4/6)y = (2/3)y.

Putting it all together, the simplified expression is (3/5)x + (2/3)y.
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