Solve 30000(1+0.01/8)

$$30000 ( 1 + \frac { 0.01 } { 8 } )$$

Evaluate

$$30037.5$$

Solution Steps

Expand \frac{0.01}{8} by multiplying both numerator and the denominator by 100.

$$30000\left(1+\frac{1}{800}\right)$$

Convert 1 to fraction \frac{800}{800}.

$$30000\left(\frac{800}{800}+\frac{1}{800}\right)$$

Since \frac{800}{800} and \frac{1}{800} have the same denominator, add them by adding their numerators.

$$30000\times \frac{800+1}{800}$$

Add 800 and 1 to get 801.

$$30000\times \frac{801}{800}$$

Express 30000\times \frac{801}{800} as a single fraction.

$$\frac{30000\times 801}{800}$$

Multiply 30000 and 801 to get 24030000.

$$\frac{24030000}{800}$$

Reduce the fraction \frac{24030000}{800} to lowest terms by extracting and canceling out 400.

$$\frac{60075}{2}$$

Factor

$$\frac{89 \cdot 3 ^ {3} \cdot 5 ^ {2}}{2} = 30037\frac{1}{2} = 30037.5$$