Solve 9000(1+0.07*11/360

$$9000 ( 1 + 0.07 \cdot \frac { 11 } { 360 }$$

Evaluate

$$9019.25$$

Solution Steps

Convert decimal number 0.07 to fraction \frac{7}{100}.

$$9000\left(1+\frac{7}{100}\times \frac{11}{360}\right)$$

Multiply \frac{7}{100} times \frac{11}{360} by multiplying numerator times numerator and denominator times denominator.

$$9000\left(1+\frac{7\times 11}{100\times 360}\right)$$

Do the multiplications in the fraction \frac{7\times 11}{100\times 360}.

$$9000\left(1+\frac{77}{36000}\right)$$

Convert 1 to fraction \frac{36000}{36000}.

$$9000\left(\frac{36000}{36000}+\frac{77}{36000}\right)$$

Since \frac{36000}{36000} and \frac{77}{36000} have the same denominator, add them by adding their numerators.

$$9000\times \frac{36000+77}{36000}$$

Add 36000 and 77 to get 36077.

$$9000\times \frac{36077}{36000}$$

Express 9000\times \frac{36077}{36000} as a single fraction.

$$\frac{9000\times 36077}{36000}$$

Multiply 9000 and 36077 to get 324693000.

$$\frac{324693000}{36000}$$

Reduce the fraction \frac{324693000}{36000} to lowest terms by extracting and canceling out 9000.

$$\frac{36077}{4}$$

Factor

$$\frac{43 \cdot 839}{2 ^ {2}} = 9019\frac{1}{4} = 9019.25$$