Basic Math Examples

$g (\frac{3}{2}) - 7 (\frac{3}{2}) + 4 + 6$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Combine $g$ and $\frac{3}{2}$ .

$\frac{g \cdot 3}{2} - 7 (\frac{3}{2}) + 4 + 6$

Step 1.2

Move $3$ to the left of $g$ .

$\frac{3 \cdot g}{2} - 7 (\frac{3}{2}) + 4 + 6$

Step 1.3

Multiply $- 7 (\frac{3}{2})$ .

Tap for more steps...

Step 1.3.1

Combine $- 7$ and $\frac{3}{2}$ .

$\frac{3 g}{2} + \frac{- 7 \cdot 3}{2} + 4 + 6$

Step 1.3.2

Multiply $- 7$ by $3$ .

$\frac{3 g}{2} + \frac{- 21}{2} + 4 + 6$

Step 1.4

Move the negative in front of the fraction.

$\frac{3 g}{2} - \frac{21}{2} + 4 + 6$

Step 2

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3 g}{2} - \frac{21}{2} + 4 \cdot \frac{2}{2} + 6$

Step 3

Combine $4$ and $\frac{2}{2}$ .

$\frac{3 g}{2} - \frac{21}{2} + \frac{4 \cdot 2}{2} + 6$

Step 4

Combine the numerators over the common denominator.

$\frac{3 g}{2} + \frac{- 21 + 4 \cdot 2}{2} + 6$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply $4$ by $2$ .

$\frac{3 g}{2} + \frac{- 21 + 8}{2} + 6$

Step 5.2

Add $- 21$ and $8$ .

$\frac{3 g}{2} + \frac{- 13}{2} + 6$

Step 6

Move the negative in front of the fraction.

$\frac{3 g}{2} - \frac{13}{2} + 6$

Step 7

To write $6$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3 g}{2} - \frac{13}{2} + 6 \cdot \frac{2}{2}$

Step 8

Combine $6$ and $\frac{2}{2}$ .

$\frac{3 g}{2} - \frac{13}{2} + \frac{6 \cdot 2}{2}$

Step 9

Combine the numerators over the common denominator.

$\frac{3 g}{2} + \frac{- 13 + 6 \cdot 2}{2}$

Step 10

Simplify the numerator.

Tap for more steps...

Step 10.1

Multiply $6$ by $2$ .

$\frac{3 g}{2} + \frac{- 13 + 12}{2}$

Step 10.2

Add $- 13$ and $12$ .

$\frac{3 g}{2} + \frac{- 1}{2}$

Step 11

Move the negative in front of the fraction.

$\frac{3 g}{2} - \frac{1}{2}$