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Finite Math Examples

\frac{3 x + 2 y + z}{x + y + z}

$\frac{3 x + 2 y + z}{x + y + z}$ ,

x = 2

$x = 2$ ,

y = 3

$y = 3$ ,

z = 1

$z = 1$

Step 1

Replace the variable

x

$x$ with

2

$2$ in the expression.

\frac{3 (2) + 2 y + z}{(2) + y + z}

$\frac{3 (2) + 2 y + z}{(2) + y + z}$

Step 2

Replace the variable

y

$y$ with

3

$3$ in the expression.

\frac{3 (2) + 2 (3) + z}{2 + 3 + z}

$\frac{3 (2) + 2 (3) + z}{2 + 3 + z}$

Step 3

Replace the variable

z

$z$ with

1

$1$ in the expression.

\frac{3 (2) + 2 (3) + 1}{2 + 3 + 1}

$\frac{3 (2) + 2 (3) + 1}{2 + 3 + 1}$

Step 4

Remove parentheses.

\frac{3 (2) + 2 (3) + 1}{2 + 3 + 1}

$\frac{3 (2) + 2 (3) + 1}{2 + 3 + 1}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

3

$3$ by

2

$2$ .

\frac{6 + 2 (3) + 1}{2 + 3 + 1}

$\frac{6 + 2 (3) + 1}{2 + 3 + 1}$

Step 5.2

Multiply

2

$2$ by

3

$3$ .

\frac{6 + 6 + 1}{2 + 3 + 1}

$\frac{6 + 6 + 1}{2 + 3 + 1}$

Step 5.3

Add

6

$6$ and

6

$6$ .

\frac{12 + 1}{2 + 3 + 1}

$\frac{12 + 1}{2 + 3 + 1}$

Step 5.4

Add

12

$12$ and

1

$1$ .

\frac{13}{2 + 3 + 1}

$\frac{13}{2 + 3 + 1}$

\frac{13}{2 + 3 + 1}

$\frac{13}{2 + 3 + 1}$

Step 6

Simplify the denominator.

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Step 6.1

Add

2

$2$ and

3

$3$ .

\frac{13}{5 + 1}

$\frac{13}{5 + 1}$

Step 6.2

Add

5

$5$ and

1

$1$ .

\frac{13}{6}

$\frac{13}{6}$

\frac{13}{6}

$\frac{13}{6}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{13}{6}

$\frac{13}{6}$

Decimal Form:

2.1\overline{6}

$2.1\overline{6}$

Mixed Number Form:

2 \frac{1}{6}

$2 \frac{1}{6}$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$