Solve (6*9+6+9)*6+(6*9+6+9+6+9div6)-(6*9+6+9-6+9div9)

$$(6 \times 9+6+9) \times 6+(6 \times 9+6+9+6+9 \div 6)-(6 \times 9+6+9-6+9 \div 9)$$

Evaluate

$$\frac{853}{2}=426.5$$

Solution Steps

Divide 9 by 9 to get 1.

$$\left(6\times 9+6+9\right)\times 6+6\times 9+6+9+6+\frac{9}{6}-\left(6\times 9+6+9-6+1\right)$$

Multiply 6 and 9 to get 54.

$$\left(54+6+9\right)\times 6+6\times 9+6+9+6+\frac{9}{6}-\left(6\times 9+6+9-6+1\right)$$

Add 54 and 6 to get 60.

$$\left(60+9\right)\times 6+6\times 9+6+9+6+\frac{9}{6}-\left(6\times 9+6+9-6+1\right)$$

Add 60 and 9 to get 69.

$$69\times 6+6\times 9+6+9+6+\frac{9}{6}-\left(6\times 9+6+9-6+1\right)$$

Multiply 69 and 6 to get 414.

$$414+6\times 9+6+9+6+\frac{9}{6}-\left(6\times 9+6+9-6+1\right)$$

Multiply 6 and 9 to get 54.

$$414+54+6+9+6+\frac{9}{6}-\left(6\times 9+6+9-6+1\right)$$

Add 414 and 54 to get 468.

$$468+6+9+6+\frac{9}{6}-\left(6\times 9+6+9-6+1\right)$$

Add 468 and 6 to get 474.

$$474+9+6+\frac{9}{6}-\left(6\times 9+6+9-6+1\right)$$

Add 474 and 9 to get 483.

$$483+6+\frac{9}{6}-\left(6\times 9+6+9-6+1\right)$$

Add 483 and 6 to get 489.

$$489+\frac{9}{6}-\left(6\times 9+6+9-6+1\right)$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$489+\frac{3}{2}-\left(6\times 9+6+9-6+1\right)$$

Convert 489 to fraction \frac{978}{2}.

$$\frac{978}{2}+\frac{3}{2}-\left(6\times 9+6+9-6+1\right)$$

Since \frac{978}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{978+3}{2}-\left(6\times 9+6+9-6+1\right)$$

Add 978 and 3 to get 981.

$$\frac{981}{2}-\left(6\times 9+6+9-6+1\right)$$

Multiply 6 and 9 to get 54.

$$\frac{981}{2}-\left(54+6+9-6+1\right)$$

Add 54 and 6 to get 60.

$$\frac{981}{2}-\left(60+9-6+1\right)$$

Add 60 and 9 to get 69.

$$\frac{981}{2}-\left(69-6+1\right)$$

Subtract 6 from 69 to get 63.

$$\frac{981}{2}-\left(63+1\right)$$

Add 63 and 1 to get 64.

$$\frac{981}{2}-64$$

Convert 64 to fraction \frac{128}{2}.

$$\frac{981}{2}-\frac{128}{2}$$

Since \frac{981}{2} and \frac{128}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{981-128}{2}$$

Subtract 128 from 981 to get 853.

$$\frac{853}{2}$$

Factor

$$\frac{853}{2} = 426\frac{1}{2} = 426.5$$