Solve 5.4%*45/365*100000

$$5.4 \% \times \frac { 45 } { 365 } \times 100000$$

Evaluate

$$\frac{48600}{73}\approx 665.753424658$$

Solution Steps

Expand \frac{5.4}{100} by multiplying both numerator and the denominator by 10.

$$\frac{54}{1000}\times \frac{45}{365}\times 100000$$

Reduce the fraction \frac{54}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{27}{500}\times \frac{45}{365}\times 100000$$

Reduce the fraction \frac{45}{365} to lowest terms by extracting and canceling out 5.

$$\frac{27}{500}\times \frac{9}{73}\times 100000$$

Multiply \frac{27}{500} times \frac{9}{73} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 9}{500\times 73}\times 100000$$

Do the multiplications in the fraction \frac{27\times 9}{500\times 73}.

$$\frac{243}{36500}\times 100000$$

Express \frac{243}{36500}\times 100000 as a single fraction.

$$\frac{243\times 100000}{36500}$$

Multiply 243 and 100000 to get 24300000.

$$\frac{24300000}{36500}$$

Reduce the fraction \frac{24300000}{36500} to lowest terms by extracting and canceling out 500.

$$\frac{48600}{73}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {5} \cdot 5 ^ {2}}{73} = 665\frac{55}{73} = 665.7534246575342$$