Simplify 3/10x + 1/6y + 3/10x + 3/6y. Be sure to reduce any fractions to the lowest terms.(1 poin
To simplify the expression 3/10x + 1/6y + 3/10x + 3/6y, we can combine like terms.
The terms with "x" are 3/10x + 3/10x. Since they have the same variables, we can add their numerators together and keep the same denominator: (3 + 3)/10x = 6/10x.
The terms with "y" are 1/6y + 3/6y. Again, we can add their numerators together and keep the same denominator: (1 + 3)/6y = 4/6y.
Now we have 6/10x + 4/6y.
To reduce the fractions to their lowest terms, we can simplify each fraction.
The fraction 6/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2. After simplifying, we get 6/10 = 3/5.
The fraction 4/6 can also be simplified by dividing both the numerator and denominator by their GCD, which is 2. After simplifying, we get 4/6 = 2/3.
Therefore, the simplified expression is 3/5x + 2/3y.
To simplify the expression 3/10x + 1/6y + 3/10x + 3/6y, we can combine like terms.
First, let's look at the terms with the variable x: 3/10x + 3/10x.
To combine these terms, we can add the numerators and keep the same denominator:
(3/10x) + (3/10x) = (3 + 3)/(10x) = 6/10x.
Next, let's look at the terms with the variable y: 1/6y + 3/6y.
To combine these terms, we can add the numerators and keep the same denominator:
(1/6y) + (3/6y) = (1 + 3)/(6y) = 4/6y.
Now, we have the simplified expression:
6/10x + 4/6y.
To reduce any fractions to the lowest terms, we can simplify this expression further.
First, we can simplify the fractions by dividing the numerator and denominator by their greatest common divisor.
For 6/10, the greatest common divisor is 2.
Dividing both the numerator and denominator by 2, we get:
6/10 = 3/5.
For 4/6, the greatest common divisor is 2.
Dividing both the numerator and denominator by 2, we get:
4/6 = 2/3.
Now, our simplified expression becomes:
3/5x + 2/3y.
To simplify the expression (3/10)x + (1/6)y + (3/10)x + (3/6)y, we can combine like terms.
First, let's focus on the terms with 'x'. We have (3/10)x + (3/10)x. Since these terms have the same variable, we can add their coefficients: 3/10 + 3/10 = 6/10.
Next, let's look at the terms with 'y'. We have (1/6)y + (3/6)y. Again, these terms have the same variable, so we can add their coefficients: 1/6 + 3/6 = 4/6.
Now, the simplified expression is (6/10)x + (4/6)y.
To reduce fractions to their lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.
For (6/10)x, the GCD of 6 and 10 is 2. Dividing both the numerator and denominator by 2, we get (3/5)x.
For (4/6)y, the GCD of 4 and 6 is also 2. Dividing both the numerator and denominator by 2, we get (2/3)y.
Therefore, the simplified expression is (3/5)x + (2/3)y.