Simplify 9/11z − 4/11z
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.
To simplify the expression 9/11z - 4/11z, you can combine the terms with the same denominator, which in this case is 11z.
The numerator of the first term, 9/11z, remains the same.
The numerator of the second term, 4/11z, becomes negative when combined with the first term.
So, the simplified expression is (9 - 4)/11z, which gives us 5/11z.
To simplify the expression 9/11z - 4/11z, we can combine the two fractions by finding a common denominator.
The denominators of both fractions are the same, which is 11z. This means we don't need to find a common denominator, and we can proceed to simplify the numerators.
The numerator of the first fraction is 9, and the numerator of the second fraction is -4. To combine these numerators, we subtract them:
9 - 4 = 5
Now we have a single fraction with a numerator of 5 and a denominator of 11z:
5/11z
Therefore, the simplified form of 9/11z - 4/11z is 5/11z.