Basic Math Examples

$\frac{3}{4^{3}} + (- \frac{5}{12} - \frac{3}{4})$

Step 1

Remove parentheses.

$\frac{3}{4^{3}} - \frac{5}{12} - \frac{3}{4}$

Step 2

Find the common denominator.

Tap for more steps...

Step 2.1

Raise $4$ to the power of $3$ .

$\frac{3}{64} - \frac{5}{12} - \frac{3}{4}$

Step 2.2

Multiply $\frac{3}{64}$ by $\frac{3}{3}$ .

$\frac{3}{64} \cdot \frac{3}{3} - \frac{5}{12} - \frac{3}{4}$

Step 2.3

Multiply $\frac{3}{64}$ by $\frac{3}{3}$ .

$\frac{3 \cdot 3}{64 \cdot 3} - \frac{5}{12} - \frac{3}{4}$

Step 2.4

Multiply $\frac{5}{12}$ by $\frac{16}{16}$ .

$\frac{3 \cdot 3}{64 \cdot 3} - (\frac{5}{12} \cdot \frac{16}{16}) - \frac{3}{4}$

Step 2.5

Multiply $\frac{5}{12}$ by $\frac{16}{16}$ .

$\frac{3 \cdot 3}{64 \cdot 3} - \frac{5 \cdot 16}{12 \cdot 16} - \frac{3}{4}$

Step 2.6

Multiply $\frac{3}{4}$ by $\frac{48}{48}$ .

$\frac{3 \cdot 3}{64 \cdot 3} - \frac{5 \cdot 16}{12 \cdot 16} - (\frac{3}{4} \cdot \frac{48}{48})$

Step 2.7

Multiply $\frac{3}{4}$ by $\frac{48}{48}$ .

$\frac{3 \cdot 3}{64 \cdot 3} - \frac{5 \cdot 16}{12 \cdot 16} - \frac{3 \cdot 48}{4 \cdot 48}$

Step 2.8

Reorder the factors of $64 \cdot 3$ .

$\frac{3 \cdot 3}{3 \cdot 64} - \frac{5 \cdot 16}{12 \cdot 16} - \frac{3 \cdot 48}{4 \cdot 48}$

Step 2.9

Multiply $3$ by $64$ .

$\frac{3 \cdot 3}{192} - \frac{5 \cdot 16}{12 \cdot 16} - \frac{3 \cdot 48}{4 \cdot 48}$

Step 2.10

Multiply $12$ by $16$ .

$\frac{3 \cdot 3}{192} - \frac{5 \cdot 16}{192} - \frac{3 \cdot 48}{4 \cdot 48}$

Step 2.11

Multiply $4$ by $48$ .

$\frac{3 \cdot 3}{192} - \frac{5 \cdot 16}{192} - \frac{3 \cdot 48}{192}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 - 5 \cdot 16 - 3 \cdot 48}{192}$

Step 4

Simplify each term.

Tap for more steps...

Step 4.1

Multiply $3$ by $3$ .

$\frac{9 - 5 \cdot 16 - 3 \cdot 48}{192}$

Step 4.2

Multiply $- 5$ by $16$ .

$\frac{9 - 80 - 3 \cdot 48}{192}$

Step 4.3

Multiply $- 3$ by $48$ .

$\frac{9 - 80 - 144}{192}$

Step 5

Simplify the expression.

Tap for more steps...

Step 5.1

Subtract $80$ from $9$ .

$\frac{- 71 - 144}{192}$

Step 5.2

Subtract $144$ from $- 71$ .

$\frac{- 215}{192}$

Step 5.3

Move the negative in front of the fraction.

$- \frac{215}{192}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{215}{192}$

Decimal Form:

$- 1.119791\overline{6}$

Mixed Number Form:

$- 1 \frac{23}{192}$