Solve 1+15+15*15/2+15*15*15/6

$$1+15+ \frac{ 15 \times 15 }{ 2 } + \frac{ 15 \times 15 \times 15 }{ 6 }$$

Evaluate

$$691$$

Solution Steps

Add 1 and 15 to get 16.

$$16+\frac{15\times 15}{2}+\frac{15\times 15\times 15}{6}$$

Multiply 15 and 15 to get 225.

$$16+\frac{225}{2}+\frac{15\times 15\times 15}{6}$$

Convert 16 to fraction \frac{32}{2}.

$$\frac{32}{2}+\frac{225}{2}+\frac{15\times 15\times 15}{6}$$

Since \frac{32}{2} and \frac{225}{2} have the same denominator, add them by adding their numerators.

$$\frac{32+225}{2}+\frac{15\times 15\times 15}{6}$$

Add 32 and 225 to get 257.

$$\frac{257}{2}+\frac{15\times 15\times 15}{6}$$

Multiply 15 and 15 to get 225.

$$\frac{257}{2}+\frac{225\times 15}{6}$$

Multiply 225 and 15 to get 3375.

$$\frac{257}{2}+\frac{3375}{6}$$

Reduce the fraction \frac{3375}{6} to lowest terms by extracting and canceling out 3.

$$\frac{257}{2}+\frac{1125}{2}$$

Since \frac{257}{2} and \frac{1125}{2} have the same denominator, add them by adding their numerators.

$$\frac{257+1125}{2}$$

Add 257 and 1125 to get 1382.

$$\frac{1382}{2}$$

Divide 1382 by 2 to get 691.

$$691$$

Factor

$$691$$