Simplify 9/11z − 4/11z

3 answers

To simplify the expression 9/11z - 4/11z, we need to find a common denominator. Since both terms have the same denominator of 11z, we can combine them by subtracting the numerators.

9/11z - 4/11z = (9 - 4)/11z = 5/11z

Therefore, the simplified expression is 5/11z.
Simplify 3/10x + 1/6y + 3/10x + 3/6y. Be sure to reduce any fractions to the lowest terms.
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 and the terms with y separately.

For the x terms:
3/10x + 3/10x = (3 + 3)/10x = 6/10x

For the y terms:
1/6y + 3/6y = (1 + 3)/6y = 4/6y

Now, let's simplify the fractions to the lowest terms:

6/10x = (3/5)(2/2)x = (3/5)(1)x = 3/5x

4/6y = (2/3)(2/2)y = (2/3)(1)y = 2/3y

Therefore, the simplified expression is 3/5x + 2/3y.