Solve 1/3+50(50-1)1/3

$$\frac { 1 } { 3 } + 50 ( 50 - 1 ) \frac { 1 } { 3 }$$

Evaluate

$$817$$

Solution Steps

Subtract 1 from 50 to get 49.

$$\frac{1}{3}+50\times 49\times \frac{1}{3}$$

Multiply 50 and 49 to get 2450.

$$\frac{1}{3}+2450\times \frac{1}{3}$$

Multiply 2450 and \frac{1}{3} to get \frac{2450}{3}.

$$\frac{1}{3}+\frac{2450}{3}$$

Since \frac{1}{3} and \frac{2450}{3} have the same denominator, add them by adding their numerators.

$$\frac{1+2450}{3}$$

Add 1 and 2450 to get 2451.

$$\frac{2451}{3}$$

Divide 2451 by 3 to get 817.

$$817$$

Factor

$$19\times 43$$