Basic Math Examples

${(24 \div 6 - 2 + 5 \cdot 3 \cdot (- 1 - 3) \div 4)}^{2}$

Step 1

Multiply $5$ by $3$ .

${(24 \div 6 - 2 + 15 \cdot (- 1 - 3) \div 4)}^{2}$

Step 2

Subtract $3$ from $- 1$ .

${(24 \div 6 - 2 + 15 \cdot - 4 \div 4)}^{2}$

Step 3

Multiply $15$ by $- 4$ .

${(24 \div 6 - 2 + - 60 \div 4)}^{2}$

Step 4

Find the common denominator.

Tap for more steps...

Step 4.1

Multiply $24 \div 6$ by $\frac{2}{2}$ .

${(24 \div 6 \cdot \frac{2}{2} - 2 + - 60 \div 4)}^{2}$

Step 4.2

Multiply $24 \div 6$ by $\frac{2}{2}$ .

${(\frac{24 \cdot 2}{6 \cdot 2} - 2 + - 60 \div 4)}^{2}$

Step 4.3

Write $- 2$ as a fraction with denominator $1$ .

${(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2}{1} + - 60 \div 4)}^{2}$

Step 4.4

Multiply $\frac{- 2}{1}$ by $\frac{12}{12}$ .

${(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2}{1} \cdot \frac{12}{12} + - 60 \div 4)}^{2}$

Step 4.5

Multiply $\frac{- 2}{1}$ by $\frac{12}{12}$ .

${(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2 \cdot 12}{12} + - 60 \div 4)}^{2}$

Step 4.6

Multiply $- 60 \div 4$ by $\frac{3}{3}$ .

${(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2 \cdot 12}{12} + - 60 \div 4 \cdot \frac{3}{3})}^{2}$

Step 4.7

Multiply $- 60 \div 4$ by $\frac{3}{3}$ .

${(\frac{24 \cdot 2}{6 \cdot 2} + \frac{- 2 \cdot 12}{12} + \frac{- 60 \cdot 3}{4 \cdot 3})}^{2}$

Step 4.8

Reorder the factors of $6 \cdot 2$ .

${(\frac{24 \cdot 2}{2 \cdot 6} + \frac{- 2 \cdot 12}{12} + \frac{- 60 \cdot 3}{4 \cdot 3})}^{2}$

Step 4.9

Multiply $2$ by $6$ .

${(\frac{24 \cdot 2}{12} + \frac{- 2 \cdot 12}{12} + \frac{- 60 \cdot 3}{4 \cdot 3})}^{2}$

Step 4.10

Reorder the factors of $4 \cdot 3$ .

${(\frac{24 \cdot 2}{12} + \frac{- 2 \cdot 12}{12} + \frac{- 60 \cdot 3}{3 \cdot 4})}^{2}$

Step 4.11

Multiply $3$ by $4$ .

${(\frac{24 \cdot 2}{12} + \frac{- 2 \cdot 12}{12} + \frac{- 60 \cdot 3}{12})}^{2}$

Step 5

Combine the numerators over the common denominator.

${(\frac{24 \cdot 2 - 2 \cdot 12 - 60 \cdot 3}{12})}^{2}$

Step 6

Simplify each term.

Tap for more steps...

Step 6.1

Multiply $24$ by $2$ .

${(\frac{48 - 2 \cdot 12 - 60 \cdot 3}{12})}^{2}$

Step 6.2

Multiply $- 2$ by $12$ .

${(\frac{48 - 24 - 60 \cdot 3}{12})}^{2}$

Step 6.3

Multiply $- 60$ by $3$ .

${(\frac{48 - 24 - 180}{12})}^{2}$

Step 7

Simplify the expression.

Tap for more steps...

Step 7.1

Subtract $24$ from $48$ .

${(\frac{24 - 180}{12})}^{2}$

Step 7.2

Subtract $180$ from $24$ .

${(\frac{- 156}{12})}^{2}$

Step 7.3

Divide $- 156$ by $12$ .

${(- 13)}^{2}$

Step 7.4

Raise $- 13$ to the power of $2$ .

$169$