Solve 0.5*0.5div0.25div0.75div0.75div0.75

$$0.5 \times 0.5 \div 0.25 \div 0.75 \div 0.75 \div 0.75$$

Evaluate

$$\frac{64}{27}\approx 2.37037037$$

Solution Steps

Express \frac{\frac{\frac{\frac{0.5\times 0.5}{0.25}}{0.75}}{0.75}}{0.75} as a single fraction.

$$\frac{\frac{\frac{0.5\times 0.5}{0.25}}{0.75}}{0.75\times 0.75}$$

Express \frac{\frac{0.5\times 0.5}{0.25}}{0.75} as a single fraction.

$$\frac{\frac{0.5\times 0.5}{0.25\times 0.75}}{0.75\times 0.75}$$

Multiply 0.5 and 0.5 to get 0.25.

$$\frac{\frac{0.25}{0.25\times 0.75}}{0.75\times 0.75}$$

Multiply 0.25 and 0.75 to get 0.1875.

$$\frac{\frac{0.25}{0.1875}}{0.75\times 0.75}$$

Expand \frac{0.25}{0.1875} by multiplying both numerator and the denominator by 10000.

$$\frac{\frac{2500}{1875}}{0.75\times 0.75}$$

Reduce the fraction \frac{2500}{1875} to lowest terms by extracting and canceling out 625.

$$\frac{\frac{4}{3}}{0.75\times 0.75}$$

Multiply 0.75 and 0.75 to get 0.5625.

$$\frac{\frac{4}{3}}{0.5625}$$

Express \frac{\frac{4}{3}}{0.5625} as a single fraction.

$$\frac{4}{3\times 0.5625}$$

Multiply 3 and 0.5625 to get 1.6875.

$$\frac{4}{1.6875}$$

Expand \frac{4}{1.6875} by multiplying both numerator and the denominator by 10000.

$$\frac{40000}{16875}$$

Reduce the fraction \frac{40000}{16875} to lowest terms by extracting and canceling out 625.

$$\frac{64}{27}$$

Factor

$$\frac{2 ^ {6}}{3 ^ {3}} = 2\frac{10}{27} = 2.3703703703703702$$