Simplify 3/10 * x + 1/6 * y + 3/10 * x + 3/6 * y Be sure to reduce any fractions to the lowest terms.
To simplify the expression, we can combine like terms.
The terms 3/10 * x and 3/10 * x are like terms because they have the same variable, x, and the same coefficient, 3/10. We can add them together to get 6/10 * x or 3/5 * x.
The terms 1/6 * y and 3/6 * y are like terms because they have the same variable, y, and the same coefficient, 1/6. We can add them together to get 4/6 * y or 2/3 * y.
Therefore, the simplified expression is 3/5 * x + 2/3 * y.
To simplify the expression 3/10 * x + 1/6 * y + 3/10 * x + 3/6 * y, we can combine like terms.
First, let's combine the terms with x: 3/10 * x + 3/10 * x. Since the fractions have the same denominator, we can simply add the numerators: (3 + 3)/10 * x = 6/10 * x.
Next, let's combine the terms with y: 1/6 * y + 3/6 * y. Again, since the fractions have the same denominator, we can add the numerators: (1 + 3)/6 * y = 4/6 * y.
Now we have 6/10 * x + 4/6 * y. To further simplify, we can reduce the fractions to their lowest terms.
To reduce 6/10, we divide both the numerator and denominator by their greatest common divisor, which is 2.
6/10 ÷ 2/2 = 3/5.
To reduce 4/6, we also divide both the numerator and denominator by their greatest common divisor, which is 2.
4/6 ÷ 2/2 = 2/3.
Now, the simplified expression becomes:
3/5 * x + 2/3 * y.
Therefore, the simplified expression is 3/5 * x + 2/3 * y.
To simplify the expression 3/10 * x + 1/6 * y + 3/10 * x + 3/6 * y, we can combine like terms.
We have 3/10 * x and 3/10 * x, which can be combined to give us (3/10 + 3/10) * x.
Similarly, we have 1/6 * y and 3/6 * y, which can be combined to give us (1/6 + 3/6) * y.
To add fractions, we need to have a common denominator. In this case, the common denominator for 10 and 6 is 30.
Therefore, we can rewrite the expression as:
(3/10 + 3/10) * x + (1/6 + 3/6) * y.
Adding the fractions with the same denominator, we have:
(6/10) * x + (4/6) * y.
Now, we can simplify these fractions further.
To reduce 6/10, we divide both the numerator and denominator by their greatest common divisor, which is 2. This gives us:
(6/10) * x = (3/5) * x.
To reduce 4/6, we also divide both the numerator and denominator by their greatest common divisor, which is 2. This gives us:
(4/6) * y = (2/3) * y.
Therefore, the simplified expression is:
(3/5) * x + (2/3) * y.