Solve {l}{[(0*2)+(1*7)+(2*11)+(3*10)+(4*6)+(5*3)+(6*1)]}{div(2+7+11+6+3+1)}

$$\left. \begin{array} { l } { [ ( 0 \times 2 ) + ( 1 \times 7 ) + ( 2 \times 11 ) + ( 3 \times 10 ) + ( 4 \times 6 ) + ( 5 \times 3 ) + ( 6 \times 1 ) ] } \\ { \div ( 2 + 7 + 11 + 6 + 3 + 1 ) } \end{array} \right.$$

Evaluate

$$\frac{52}{15}\approx 3.466666667$$

Solution Steps

Multiply 0 and 2 to get 0. Multiply 1 and 7 to get 7. Multiply 2 and 11 to get 22. Multiply 3 and 10 to get 30. Multiply 4 and 6 to get 24. Multiply 5 and 3 to get 15. Multiply 6 and 1 to get 6.

$$\frac{0+7+22+30+24+15+6}{2+7+11+6+3+1}$$

Add 0 and 7 to get 7.

$$\frac{7+22+30+24+15+6}{2+7+11+6+3+1}$$

Add 7 and 22 to get 29.

$$\frac{29+30+24+15+6}{2+7+11+6+3+1}$$

Add 29 and 30 to get 59.

$$\frac{59+24+15+6}{2+7+11+6+3+1}$$

Add 59 and 24 to get 83.

$$\frac{83+15+6}{2+7+11+6+3+1}$$

Add 83 and 15 to get 98.

$$\frac{98+6}{2+7+11+6+3+1}$$

Add 98 and 6 to get 104.

$$\frac{104}{2+7+11+6+3+1}$$

Add 2 and 7 to get 9.

$$\frac{104}{9+11+6+3+1}$$

Add 9 and 11 to get 20.

$$\frac{104}{20+6+3+1}$$

Add 20 and 6 to get 26.

$$\frac{104}{26+3+1}$$

Add 26 and 3 to get 29.

$$\frac{104}{29+1}$$

Add 29 and 1 to get 30.

$$\frac{104}{30}$$

Reduce the fraction \frac{104}{30} to lowest terms by extracting and canceling out 2.

$$\frac{52}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 13}{3 \cdot 5} = 3\frac{7}{15} = 3.466666666666667$$