Evaluate (126)÷8+20+53-926

$12 \cdot 6 \div 8 + 20 + 5 \cdot 3 - 9 \cdot 2 \cdot 6$

Step 1

Multiply $12$ by $6$ .

$72 \div 8 + 20 + 5 \cdot 3 - 9 \cdot 2 \cdot 6$

Step 2

Find the common denominator.

Write $20$ as a fraction with denominator $1$ .

$72 \div 8 + \frac{20}{1} + 5 \cdot 3 - 9 \cdot 2 \cdot 6$

Multiply $\frac{20}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20}{1} \cdot \frac{8}{8} + 5 \cdot 3 - 9 \cdot 2 \cdot 6$

Multiply $\frac{20}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + 5 \cdot 3 - 9 \cdot 2 \cdot 6$

Write $5 \cdot 3$ as a fraction with denominator $1$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3}{1} - 9 \cdot 2 \cdot 6$

Multiply $\frac{5 \cdot 3}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3}{1} \cdot \frac{8}{8} - 9 \cdot 2 \cdot 6$

Multiply $\frac{5 \cdot 3}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3 \cdot 8}{8} - 9 \cdot 2 \cdot 6$

Write $- 9 \cdot 2 \cdot 6$ as a fraction with denominator $1$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3 \cdot 8}{8} + \frac{- 9 \cdot 2 \cdot 6}{1}$

Multiply $\frac{- 9 \cdot 2 \cdot 6}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3 \cdot 8}{8} + \frac{- 9 \cdot 2 \cdot 6}{1} \cdot \frac{8}{8}$

Multiply $\frac{- 9 \cdot 2 \cdot 6}{1}$ by $\frac{8}{8}$ .

$72 \div 8 + \frac{20 \cdot 8}{8} + \frac{5 \cdot 3 \cdot 8}{8} + \frac{- 9 \cdot 2 \cdot 6 \cdot 8}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{72 + 20 \cdot 8 + 5 \cdot 3 \cdot 8 - 9 \cdot 2 \cdot 6 \cdot 8}{8}$

Step 4

Simplify each term.

Multiply $20$ by $8$ .

$\frac{72 + 160 + 5 \cdot 3 \cdot 8 - 9 \cdot 2 \cdot 6 \cdot 8}{8}$

Multiply $5 \cdot 3 \cdot 8$ .

Multiply $5$ by $3$ .

$\frac{72 + 160 + 15 \cdot 8 - 9 \cdot 2 \cdot 6 \cdot 8}{8}$

Multiply $15$ by $8$ .

$\frac{72 + 160 + 120 - 9 \cdot 2 \cdot 6 \cdot 8}{8}$

Multiply $- 9 \cdot 2 \cdot 6 \cdot 8$ .

Multiply $- 9$ by $2$ .

$\frac{72 + 160 + 120 - 18 \cdot 6 \cdot 8}{8}$

Multiply $- 18$ by $6$ .

$\frac{72 + 160 + 120 - 108 \cdot 8}{8}$

Multiply $- 108$ by $8$ .

$\frac{72 + 160 + 120 - 864}{8}$

Step 5

Simplify the expression.

Add $72$ and $160$ .

$\frac{232 + 120 - 864}{8}$

Add $232$ and $120$ .

$\frac{352 - 864}{8}$

Subtract $864$ from $352$ .

$\frac{- 512}{8}$

Divide $- 512$ by $8$ .

$- 64$

Evaluate (12*6)÷8+20+5*3-9*2*6

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Evaluate (126)÷8+20+53-926