To simplify the expression 3/10z + 1/6y + 3/10x + 3/6y, we can combine like terms.
First, let's combine the terms that have a "z" variable: 3/10z + 3/10x.
The common denominator for 10z and 10x is 10, so we can rewrite the expression as (3z + 3x)/10.
Next, let's combine the terms that have a "y" variable: 1/6y + 3/6y.
The common denominator for 6y and 6y is 6, so we can rewrite the expression as (1y + 3y)/6.
Simplifying further, we have:
(3z + 3x)/10 + (1y + 3y)/6
(3z + 3x)/10 + 4y/6
To further simplify, we can find the least common denominator between 10 and 6, which is 30. We can rewrite the expression as:
(3z + 3x)/10 + (4y/6)(5/5)
(3z + 3x)/10 + 20y/30
Multiplying the numerator and denominator of 20y/30 by 10, we have:
(3z + 3x)/10 + (200y/300)
Combining the terms further, we have:
(3z + 3x + 200y)/300
So, the simplified expression is (3z + 3x + 200y)/300.
Simplify 3/10z+1/6y+3/10x+3/6y
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