Math / Algebra

QuestionSimplify the expression. $2 z+\frac{3}{15}+4 n+\frac{2}{15}+3 z-3 n$

Studdy Solution

STEP 1

1. We are asked to simplify the expression by combining like terms.
2. The expression consists of variable terms and constant fractions.
3. Like terms are terms that have the same variable raised to the same power.

STEP 2

1. Identify and combine like terms involving the variable $z$ .
2. Identify and combine like terms involving the variable $n$ .
3. Combine the constant fractions.

STEP 3

Identify and combine like terms involving the variable $z$ :
The terms are $2z$ and $3z$ .
$2z + 3z = 5z$

STEP 4

Identify and combine like terms involving the variable $n$ :
The terms are $4n$ and $-3n$ .
$4n - 3n = 1n \text{ or simply } n$

STEP 5

Combine the constant fractions:
The fractions are $\frac{3}{15}$ and $\frac{2}{15}$ .
$\frac{3}{15} + \frac{2}{15} = \frac{3+2}{15} = \frac{5}{15} = \frac{1}{3}$

STEP 6

Combine all the simplified parts together:
$5z + n + \frac{1}{3}$
This is the simplified expression.

Was this helpful?

QuestionSimplify the expression. $2 z+\frac{3}{15}+4 n+\frac{2}{15}+3 z-3 n$

Studdy Solution

STEP 1

1. We are asked to simplify the expression by combining like terms.
2. The expression consists of variable terms and constant fractions.
3. Like terms are terms that have the same variable raised to the same power.

STEP 2

1. Identify and combine like terms involving the variable $z$ .
2. Identify and combine like terms involving the variable $n$ .
3. Combine the constant fractions.

STEP 3

Identify and combine like terms involving the variable $z$ :
The terms are $2z$ and $3z$ .
$2z + 3z = 5z$

STEP 4

Identify and combine like terms involving the variable $n$ :
The terms are $4n$ and $-3n$ .
$4n - 3n = 1n \text{ or simply } n$

STEP 5

Combine the constant fractions:
The fractions are $\frac{3}{15}$ and $\frac{2}{15}$ .
$\frac{3}{15} + \frac{2}{15} = \frac{3+2}{15} = \frac{5}{15} = \frac{1}{3}$

STEP 6

Combine all the simplified parts together:
$5z + n + \frac{1}{3}$
This is the simplified expression.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSimplify the expression. 2z+315+4n+215+3z−3n2 z+\frac{3}{15}+4 n+\frac{2}{15}+3 z-3 n2z+153​+4n+152​+3z−3n

Studdy Solution

STEP 1

1. We are asked to simplify the expression by combining like terms.2. The expression consists of variable terms and constant fractions.3. Like terms are terms that have the same variable raised to the same power.

STEP 2

1. Identify and combine like terms involving the variable z z z.2. Identify and combine like terms involving the variable n n n.3. Combine the constant fractions.

STEP 3

Identify and combine like terms involving the variable z z z:The terms are 2z 2z 2z and 3z 3z 3z.2z+3z=5z 2z + 3z = 5z 2z+3z=5z

STEP 4

Identify and combine like terms involving the variable n n n:The terms are 4n 4n 4n and −3n-3n−3n.4n−3n=1n or simply n 4n - 3n = 1n \text{ or simply } n 4n−3n=1n or simply n

STEP 5

Combine the constant fractions:The fractions are 315 \frac{3}{15} 153​ and 215 \frac{2}{15} 152​.315+215=3+215=515=13 \frac{3}{15} + \frac{2}{15} = \frac{3+2}{15} = \frac{5}{15} = \frac{1}{3} 153​+152​=153+2​=155​=31​

STEP 6

Combine all the simplified parts together:5z+n+13 5z + n + \frac{1}{3} 5z+n+31​This is the simplified expression.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSimplify the expression. $2 z+\frac{3}{15}+4 n+\frac{2}{15}+3 z-3 n$

1. We are asked to simplify the expression by combining like terms.
2. The expression consists of variable terms and constant fractions.
3. Like terms are terms that have the same variable raised to the same power.

1. Identify and combine like terms involving the variable $z$ .
2. Identify and combine like terms involving the variable $n$ .
3. Combine the constant fractions.

Identify and combine like terms involving the variable $z$ :
The terms are $2z$ and $3z$ .
$2z + 3z = 5z$

Identify and combine like terms involving the variable $n$ :
The terms are $4n$ and $-3n$ .
$4n - 3n = 1n \text{ or simply } n$

Combine the constant fractions:
The fractions are $\frac{3}{15}$ and $\frac{2}{15}$ .
$\frac{3}{15} + \frac{2}{15} = \frac{3+2}{15} = \frac{5}{15} = \frac{1}{3}$

Combine all the simplified parts together:
$5z + n + \frac{1}{3}$
This is the simplified expression.