Solve 100/1.52/100*3

$$\frac{ \frac{ 100 }{ 1.5 } 2 }{ 100 \cdot 3 }$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Expand \frac{100}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{1000}{15}\times 2}{100\times 3}$$

Reduce the fraction \frac{1000}{15} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{200}{3}\times 2}{100\times 3}$$

Express \frac{200}{3}\times 2 as a single fraction.

$$\frac{\frac{200\times 2}{3}}{100\times 3}$$

Multiply 200 and 2 to get 400.

$$\frac{\frac{400}{3}}{100\times 3}$$

Multiply 100 and 3 to get 300.

$$\frac{\frac{400}{3}}{300}$$

Express \frac{\frac{400}{3}}{300} as a single fraction.

$$\frac{400}{3\times 300}$$

Multiply 3 and 300 to get 900.

$$\frac{400}{900}$$

Reduce the fraction \frac{400}{900} to lowest terms by extracting and canceling out 100.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$