Question

Simplify 3/10z+1/6y+3/10x+3/6y

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.