Solve 5/4*2*(3/5*3*10^8)

$$\frac{ 5 }{ 4 } \times 2 \times ( \frac{ 3 }{ 5 } \times 3 \times { 10 }^{ 8 } )$$

Evaluate

$$450000000$$

Solution Steps

Express \frac{5}{4}\times 2 as a single fraction.

$$\frac{5\times 2}{4}\times \frac{3}{5}\times 3\times 10^{8}$$

Multiply 5 and 2 to get 10.

$$\frac{10}{4}\times \frac{3}{5}\times 3\times 10^{8}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}\times \frac{3}{5}\times 3\times 10^{8}$$

Multiply \frac{5}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{2\times 5}\times 3\times 10^{8}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3}{2}\times 3\times 10^{8}$$

Express \frac{3}{2}\times 3 as a single fraction.

$$\frac{3\times 3}{2}\times 10^{8}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{2}\times 10^{8}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{9}{2}\times 100000000$$

Express \frac{9}{2}\times 100000000 as a single fraction.

$$\frac{9\times 100000000}{2}$$

Multiply 9 and 100000000 to get 900000000.

$$\frac{900000000}{2}$$

Divide 900000000 by 2 to get 450000000.

$$450000000$$

Factor

$$2^{7}\times 3^{2}\times 5^{8}$$