Solve 110(1+0.07615){left(-44/365right)}^

$$110(1+0.07615) { \left(- \frac{ 44 }{ 365 } \right) }^{ }$$

Evaluate

$$-\frac{2604283}{182500}\approx -14.270043836$$

Solution Steps

Add 1 and 0.07615 to get 1.07615.

$$110\times 1.07615\left(-\frac{44}{365}\right)^{1}$$

Multiply 110 and 1.07615 to get 118.3765.

$$118.3765\left(-\frac{44}{365}\right)^{1}$$

Calculate -\frac{44}{365} to the power of 1 and get -\frac{44}{365}.

$$118.3765\left(-\frac{44}{365}\right)$$

Convert decimal number 118.3765 to fraction \frac{1183765}{10000}. Reduce the fraction \frac{1183765}{10000} to lowest terms by extracting and canceling out 5.

$$\frac{236753}{2000}\left(-\frac{44}{365}\right)$$

Multiply \frac{236753}{2000} times -\frac{44}{365} by multiplying numerator times numerator and denominator times denominator.

$$\frac{236753\left(-44\right)}{2000\times 365}$$

Do the multiplications in the fraction \frac{236753\left(-44\right)}{2000\times 365}.

$$\frac{-10417132}{730000}$$

Reduce the fraction \frac{-10417132}{730000} to lowest terms by extracting and canceling out 4.

$$-\frac{2604283}{182500}$$

Factor

$$-\frac{2604283}{182500} = -14\frac{49283}{182500} = -14.270043835616438$$