Solve 11.88*6+13.75*7+16.12*6+13.07*3+16*3+14.8*3+15.78*2+13.31*2+12*2/34

$$\frac{ 11.88 \cdot 6+13.75 \cdot 7+16.12 \cdot 6+13.07 \cdot 3+16 \cdot 3+14.8 \cdot 3+15.78 \cdot 2+13.31 \cdot 2+12 \cdot 2 }{ 34 }$$

Evaluate

$$14.06$$

Solution Steps

Multiply 16 and 3 to get 48. Multiply 12 and 2 to get 24.

$$\frac{11.88\times 6+13.75\times 7+16.12\times 6+13.07\times 3+48+14.8\times 3+15.78\times 2+13.31\times 2+24}{34}$$

Multiply 11.88 and 6 to get 71.28.

$$\frac{71.28+13.75\times 7+16.12\times 6+13.07\times 3+48+14.8\times 3+15.78\times 2+13.31\times 2+24}{34}$$

Multiply 13.75 and 7 to get 96.25.

$$\frac{71.28+96.25+16.12\times 6+13.07\times 3+48+14.8\times 3+15.78\times 2+13.31\times 2+24}{34}$$

Add 71.28 and 96.25 to get 167.53.

$$\frac{167.53+16.12\times 6+13.07\times 3+48+14.8\times 3+15.78\times 2+13.31\times 2+24}{34}$$

Multiply 16.12 and 6 to get 96.72.

$$\frac{167.53+96.72+13.07\times 3+48+14.8\times 3+15.78\times 2+13.31\times 2+24}{34}$$

Add 167.53 and 96.72 to get 264.25.

$$\frac{264.25+13.07\times 3+48+14.8\times 3+15.78\times 2+13.31\times 2+24}{34}$$

Multiply 13.07 and 3 to get 39.21.

$$\frac{264.25+39.21+48+14.8\times 3+15.78\times 2+13.31\times 2+24}{34}$$

Add 264.25 and 39.21 to get 303.46.

$$\frac{303.46+48+14.8\times 3+15.78\times 2+13.31\times 2+24}{34}$$

Add 303.46 and 48 to get 351.46.

$$\frac{351.46+14.8\times 3+15.78\times 2+13.31\times 2+24}{34}$$

Multiply 14.8 and 3 to get 44.4.

$$\frac{351.46+44.4+15.78\times 2+13.31\times 2+24}{34}$$

Add 351.46 and 44.4 to get 395.86.

$$\frac{395.86+15.78\times 2+13.31\times 2+24}{34}$$

Multiply 15.78 and 2 to get 31.56.

$$\frac{395.86+31.56+13.31\times 2+24}{34}$$

Add 395.86 and 31.56 to get 427.42.

$$\frac{427.42+13.31\times 2+24}{34}$$

Multiply 13.31 and 2 to get 26.62.

$$\frac{427.42+26.62+24}{34}$$

Add 427.42 and 26.62 to get 454.04.

$$\frac{454.04+24}{34}$$

Add 454.04 and 24 to get 478.04.

$$\frac{478.04}{34}$$

Expand \frac{478.04}{34} by multiplying both numerator and the denominator by 100.

$$\frac{47804}{3400}$$

Reduce the fraction \frac{47804}{3400} to lowest terms by extracting and canceling out 68.

$$\frac{703}{50}$$

Factor

$$\frac{19 \cdot 37}{2 \cdot 5 ^ {2}} = 14\frac{3}{50} = 14.06$$