Solve (4/7+4/7+3/7+3/7+frac{1}{7}+frac{5}{7}+frac{8}{7})*41*40

$$( \frac{ 4 }{ 7 } + \frac{ 4 }{ 7 } + \frac{ 3 }{ 7 } + \frac{ 3 }{ 7 } + \frac{ 1 }{ 7 } + \frac{ 5 }{ 7 } + \frac{ 8 }{ 7 } ) \times 41 \times 40$$

Evaluate

$$6560$$

Solution Steps

Since \frac{4}{7} and \frac{4}{7} have the same denominator, add them by adding their numerators.

$$\left(\frac{4+4}{7}+\frac{3}{7}+\frac{3}{7}+\frac{1}{7}+\frac{5}{7}+\frac{8}{7}\right)\times 41\times 40$$

Add 4 and 4 to get 8.

$$\left(\frac{8}{7}+\frac{3}{7}+\frac{3}{7}+\frac{1}{7}+\frac{5}{7}+\frac{8}{7}\right)\times 41\times 40$$

Since \frac{8}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$\left(\frac{8+3}{7}+\frac{3}{7}+\frac{1}{7}+\frac{5}{7}+\frac{8}{7}\right)\times 41\times 40$$

Add 8 and 3 to get 11.

$$\left(\frac{11}{7}+\frac{3}{7}+\frac{1}{7}+\frac{5}{7}+\frac{8}{7}\right)\times 41\times 40$$

Since \frac{11}{7} and \frac{3}{7} have the same denominator, add them by adding their numerators.

$$\left(\frac{11+3}{7}+\frac{1}{7}+\frac{5}{7}+\frac{8}{7}\right)\times 41\times 40$$

Add 11 and 3 to get 14.

$$\left(\frac{14}{7}+\frac{1}{7}+\frac{5}{7}+\frac{8}{7}\right)\times 41\times 40$$

Since \frac{14}{7} and \frac{1}{7} have the same denominator, add them by adding their numerators.

$$\left(\frac{14+1}{7}+\frac{5}{7}+\frac{8}{7}\right)\times 41\times 40$$

Add 14 and 1 to get 15.

$$\left(\frac{15}{7}+\frac{5}{7}+\frac{8}{7}\right)\times 41\times 40$$

Since \frac{15}{7} and \frac{5}{7} have the same denominator, add them by adding their numerators.

$$\left(\frac{15+5}{7}+\frac{8}{7}\right)\times 41\times 40$$

Add 15 and 5 to get 20.

$$\left(\frac{20}{7}+\frac{8}{7}\right)\times 41\times 40$$

Since \frac{20}{7} and \frac{8}{7} have the same denominator, add them by adding their numerators.

$$\frac{20+8}{7}\times 41\times 40$$

Add 20 and 8 to get 28.

$$\frac{28}{7}\times 41\times 40$$

Divide 28 by 7 to get 4.

$$4\times 41\times 40$$

Multiply 4 and 41 to get 164.

$$164\times 40$$

Multiply 164 and 40 to get 6560.

$$6560$$

Factor

$$2^{5}\times 5\times 41$$