Solve ((100div1.5)*2)div(100*3)-1

$$((100 \div 1.5) \times 2) \div (100 \times 3)-1$$

Evaluate

$$-\frac{5}{9}\approx -0.555555556$$

Solution Steps

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

$$\frac{\frac{1000}{15}\times 2}{100\times 3}-1$$

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

$$\frac{\frac{200}{3}\times 2}{100\times 3}-1$$

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

$$\frac{\frac{200\times 2}{3}}{100\times 3}-1$$

Multiply 200 and 2 to get 400.

$$\frac{\frac{400}{3}}{100\times 3}-1$$

Multiply 100 and 3 to get 300.

$$\frac{\frac{400}{3}}{300}-1$$

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

$$\frac{400}{3\times 300}-1$$

Multiply 3 and 300 to get 900.

$$\frac{400}{900}-1$$

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

$$\frac{4}{9}-1$$

Convert 1 to fraction \frac{9}{9}.

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

Since \frac{4}{9} and \frac{9}{9} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 9 from 4 to get -5.

$$-\frac{5}{9}$$

Factor

$$-\frac{5}{9} = -0.5555555555555556$$