Simplify 3/10x + 1/6y + 3/10x + 3/6y. Be sure to reduce any fractions to the lowest terms.(1 point)
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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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:
3/10x + 3/10x equals 6/10x, which simplifies to 3/5x.
Next, let's combine the terms with y:
1/6y + 3/6y equals 4/6y, which simplifies to 2/3y.
Therefore, the simplified expression is 3/5x + 2/3y.
To simplify the given expression (3/10x + 1/6y + 3/10x + 3/6y), we need to combine the like terms, which have the same variable and exponent pairs.
1. Combine the terms that contain 'x':
The terms are 3/10x + 3/10x, which have the same variable 'x'. Adding these terms together, we get (3/10x + 3/10x) = (6/10x) or (3/5x).
2. Combine the terms that contain 'y':
The terms are 1/6y + 3/6y, which have the same variable 'y'. Adding these terms together, we get (1/6y + 3/6y) = (4/6y) or (2/3y).
Therefore, when we simplify 3/10x + 1/6y + 3/10x + 3/6y, the expression reduces to: (3/5x + 2/3y).