Solve 1/2(13*12)+1/2(13*12)+2(6*10*13

$$\frac { 1 } { 2 } ( 13 \times 12 ) + \frac { 1 } { 2 } ( 13 \times 12 ) + 2 ( 6 \times 10 \times 13$$

Evaluate

$$1716$$

Solution Steps

Multiply \frac{1}{2} and 13 to get \frac{13}{2}.

$$\frac{13}{2}\times 12+\frac{1}{2}\times 13\times 12+2\times 6\times 10\times 13$$

Express \frac{13}{2}\times 12 as a single fraction.

$$\frac{13\times 12}{2}+\frac{1}{2}\times 13\times 12+2\times 6\times 10\times 13$$

Multiply 13 and 12 to get 156.

$$\frac{156}{2}+\frac{1}{2}\times 13\times 12+2\times 6\times 10\times 13$$

Divide 156 by 2 to get 78.

$$78+\frac{1}{2}\times 13\times 12+2\times 6\times 10\times 13$$

Multiply \frac{1}{2} and 13 to get \frac{13}{2}.

$$78+\frac{13}{2}\times 12+2\times 6\times 10\times 13$$

Express \frac{13}{2}\times 12 as a single fraction.

$$78+\frac{13\times 12}{2}+2\times 6\times 10\times 13$$

Multiply 13 and 12 to get 156.

$$78+\frac{156}{2}+2\times 6\times 10\times 13$$

Divide 156 by 2 to get 78.

$$78+78+2\times 6\times 10\times 13$$

Add 78 and 78 to get 156.

$$156+2\times 6\times 10\times 13$$

Multiply 2 and 6 to get 12.

$$156+12\times 10\times 13$$

Multiply 12 and 10 to get 120.

$$156+120\times 13$$

Multiply 120 and 13 to get 1560.

$$156+1560$$

Add 156 and 1560 to get 1716.

$$1716$$

Factor

$$2^{2}\times 3\times 11\times 13$$