Solve 9000(1+0.07*110/365)

$$9000 ( 1 + 0.07 \cdot \frac { 110 } { 365 } )$$

Evaluate

$$\frac{670860}{73}\approx 9189.863013699$$

Solution Steps

Reduce the fraction \frac{110}{365} to lowest terms by extracting and canceling out 5.

$$9000\left(1+0.07\times \frac{22}{73}\right)$$

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

$$9000\left(1+\frac{7}{100}\times \frac{22}{73}\right)$$

Multiply \frac{7}{100} times \frac{22}{73} by multiplying numerator times numerator and denominator times denominator.

$$9000\left(1+\frac{7\times 22}{100\times 73}\right)$$

Do the multiplications in the fraction \frac{7\times 22}{100\times 73}.

$$9000\left(1+\frac{154}{7300}\right)$$

Reduce the fraction \frac{154}{7300} to lowest terms by extracting and canceling out 2.

$$9000\left(1+\frac{77}{3650}\right)$$

Convert 1 to fraction \frac{3650}{3650}.

$$9000\left(\frac{3650}{3650}+\frac{77}{3650}\right)$$

Since \frac{3650}{3650} and \frac{77}{3650} have the same denominator, add them by adding their numerators.

$$9000\times \frac{3650+77}{3650}$$

Add 3650 and 77 to get 3727.

$$9000\times \frac{3727}{3650}$$

Express 9000\times \frac{3727}{3650} as a single fraction.

$$\frac{9000\times 3727}{3650}$$

Multiply 9000 and 3727 to get 33543000.

$$\frac{33543000}{3650}$$

Reduce the fraction \frac{33543000}{3650} to lowest terms by extracting and canceling out 50.

$$\frac{670860}{73}$$

Factor

$$\frac{5 \cdot 3727 \cdot 2 ^ {2} \cdot 3 ^ {2}}{73} = 9189\frac{63}{73} = 9189.86301369863$$