Solve 2000(1+049/12

$$2000 ( 1 + \frac { 049 } { 12 }$$

Evaluate

$$\frac{30500}{3}\approx 10166.666666667$$

Solution Steps

Convert 1 to fraction \frac{12}{12}.

$$2000\left(\frac{12}{12}+\frac{49}{12}\right)$$

Since \frac{12}{12} and \frac{49}{12} have the same denominator, add them by adding their numerators.

$$2000\times \frac{12+49}{12}$$

Add 12 and 49 to get 61.

$$2000\times \frac{61}{12}$$

Express 2000\times \frac{61}{12} as a single fraction.

$$\frac{2000\times 61}{12}$$

Multiply 2000 and 61 to get 122000.

$$\frac{122000}{12}$$

Reduce the fraction \frac{122000}{12} to lowest terms by extracting and canceling out 4.

$$\frac{30500}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {3} \cdot 61}{3} = 10166\frac{2}{3} = 10166.666666666666$$