Finite Math Examples

$[\begin{array}{c} 9 + \frac{32}{7} & - \frac{18}{7} & 9 - \frac{24}{7} \end{array}]$

Step 1

To write $9$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$[\begin{array}{c} 9 \cdot \frac{7}{7} + \frac{32}{7} & - \frac{18}{7} & 9 - \frac{24}{7} \end{array}]$

Step 2

Combine $9$ and $\frac{7}{7}$ .

$[\begin{array}{c} \frac{9 \cdot 7}{7} + \frac{32}{7} & - \frac{18}{7} & 9 - \frac{24}{7} \end{array}]$

Step 3

Combine the numerators over the common denominator.

$[\begin{array}{c} \frac{9 \cdot 7 + 32}{7} & - \frac{18}{7} & 9 - \frac{24}{7} \end{array}]$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $9$ by $7$ .

$[\begin{array}{c} \frac{63 + 32}{7} & - \frac{18}{7} & 9 - \frac{24}{7} \end{array}]$

Step 4.2

Add $63$ and $32$ .

$[\begin{array}{c} \frac{95}{7} & - \frac{18}{7} & 9 - \frac{24}{7} \end{array}]$

Step 5

To write $9$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$[\begin{array}{c} \frac{95}{7} & - \frac{18}{7} & 9 \cdot \frac{7}{7} - \frac{24}{7} \end{array}]$

Step 6

Combine $9$ and $\frac{7}{7}$ .

$[\begin{array}{c} \frac{95}{7} & - \frac{18}{7} & \frac{9 \cdot 7}{7} - \frac{24}{7} \end{array}]$

Step 7

Combine the numerators over the common denominator.

$[\begin{array}{c} \frac{95}{7} & - \frac{18}{7} & \frac{9 \cdot 7 - 24}{7} \end{array}]$

Step 8

Simplify the numerator.

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Step 8.1

Multiply $9$ by $7$ .

$[\begin{array}{c} \frac{95}{7} & - \frac{18}{7} & \frac{63 - 24}{7} \end{array}]$

Step 8.2

Subtract $24$ from $63$ .

$[\begin{array}{c} \frac{95}{7} & - \frac{18}{7} & \frac{39}{7} \end{array}]$