Solve (3.3+3.3*4+3.4*4+3.5*3+3.6*2.5+3.1*0.5+3.7*3.5+12+3.3+3.9+2*3.7+3*3.6)div28.5

$$(3.3+3.3 \times 4+3.4 \times 4+3.5 \times 3+3.6 \times 2.5+3.1 \times 0.5+3.7 \times 3.5+12+3.3+3.9+2 \times 3.7+3 \times 3.6) \div 28.5$$

Evaluate

$$\frac{203}{57}\approx 3.561403509$$

Solution Steps

Multiply 3.3 and 4 to get 13.2.

$$\frac{3.3+13.2+3.4\times 4+3.5\times 3+3.6\times 2.5+3.1\times 0.5+3.7\times 3.5+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Add 3.3 and 13.2 to get 16.5.

$$\frac{16.5+3.4\times 4+3.5\times 3+3.6\times 2.5+3.1\times 0.5+3.7\times 3.5+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Multiply 3.4 and 4 to get 13.6.

$$\frac{16.5+13.6+3.5\times 3+3.6\times 2.5+3.1\times 0.5+3.7\times 3.5+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Add 16.5 and 13.6 to get 30.1.

$$\frac{30.1+3.5\times 3+3.6\times 2.5+3.1\times 0.5+3.7\times 3.5+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Multiply 3.5 and 3 to get 10.5.

$$\frac{30.1+10.5+3.6\times 2.5+3.1\times 0.5+3.7\times 3.5+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Add 30.1 and 10.5 to get 40.6.

$$\frac{40.6+3.6\times 2.5+3.1\times 0.5+3.7\times 3.5+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Multiply 3.6 and 2.5 to get 9.

$$\frac{40.6+9+3.1\times 0.5+3.7\times 3.5+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Add 40.6 and 9 to get 49.6.

$$\frac{49.6+3.1\times 0.5+3.7\times 3.5+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Multiply 3.1 and 0.5 to get 1.55.

$$\frac{49.6+1.55+3.7\times 3.5+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Add 49.6 and 1.55 to get 51.15.

$$\frac{51.15+3.7\times 3.5+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Multiply 3.7 and 3.5 to get 12.95.

$$\frac{51.15+12.95+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Add 51.15 and 12.95 to get 64.1.

$$\frac{64.1+12+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Add 64.1 and 12 to get 76.1.

$$\frac{76.1+3.3+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Add 76.1 and 3.3 to get 79.4.

$$\frac{79.4+3.9+2\times 3.7+3\times 3.6}{28.5}$$

Add 79.4 and 3.9 to get 83.3.

$$\frac{83.3+2\times 3.7+3\times 3.6}{28.5}$$

Multiply 2 and 3.7 to get 7.4.

$$\frac{83.3+7.4+3\times 3.6}{28.5}$$

Add 83.3 and 7.4 to get 90.7.

$$\frac{90.7+3\times 3.6}{28.5}$$

Multiply 3 and 3.6 to get 10.8.

$$\frac{90.7+10.8}{28.5}$$

Add 90.7 and 10.8 to get 101.5.

$$\frac{101.5}{28.5}$$

Expand \frac{101.5}{28.5} by multiplying both numerator and the denominator by 10.

$$\frac{1015}{285}$$

Reduce the fraction \frac{1015}{285} to lowest terms by extracting and canceling out 5.

$$\frac{203}{57}$$

Factor

$$\frac{7 \cdot 29}{3 \cdot 19} = 3\frac{32}{57} = 3.56140350877193$$