Evaluate 37-5÷2+4*3

$37 - 5 \div 2 + 4 \cdot 3$

Step 1

Find the common denominator.

Write $37$ as a fraction with denominator $1$ .

$\frac{37}{1} - 5 \div 2 + 4 \cdot 3$

Multiply $\frac{37}{1}$ by $\frac{2}{2}$ .

$\frac{37}{1} \cdot \frac{2}{2} - 5 \div 2 + 4 \cdot 3$

Multiply $\frac{37}{1}$ by $\frac{2}{2}$ .

$\frac{37 \cdot 2}{2} - 5 \div 2 + 4 \cdot 3$

Write $4 \cdot 3$ as a fraction with denominator $1$ .

$\frac{37 \cdot 2}{2} - 5 \div 2 + \frac{4 \cdot 3}{1}$

Multiply $\frac{4 \cdot 3}{1}$ by $\frac{2}{2}$ .

$\frac{37 \cdot 2}{2} - 5 \div 2 + \frac{4 \cdot 3}{1} \cdot \frac{2}{2}$

Multiply $\frac{4 \cdot 3}{1}$ by $\frac{2}{2}$ .

$\frac{37 \cdot 2}{2} - 5 \div 2 + \frac{4 \cdot 3 \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{37 \cdot 2 - 5 + 4 \cdot 3 \cdot 2}{2}$

Step 3

Simplify each term.

Multiply $37$ by $2$ .

$\frac{74 - 5 + 4 \cdot 3 \cdot 2}{2}$

Multiply $4 \cdot 3 \cdot 2$ .

Multiply $4$ by $3$ .

$\frac{74 - 5 + 12 \cdot 2}{2}$

Multiply $12$ by $2$ .

$\frac{74 - 5 + 24}{2}$

Step 4

Simplify by adding and subtracting.

Subtract $5$ from $74$ .

$\frac{69 + 24}{2}$

Add $69$ and $24$ .

$\frac{93}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{93}{2}$

Decimal Form:

$46.5$

Mixed Number Form:

$46 \frac{1}{2}$