Solve 5/7*2^2div144sqrt{144}=

$$\frac{ 5 }{ 7 } \times { 2 }^{ 2 } \div 144 \sqrt{ 144 } =$$

Evaluate

$$\frac{5}{21}\approx 0.238095238$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{\frac{5}{7}\times 4}{144}\sqrt{144}$$

Express \frac{5}{7}\times 4 as a single fraction.

$$\frac{\frac{5\times 4}{7}}{144}\sqrt{144}$$

Multiply 5 and 4 to get 20.

$$\frac{\frac{20}{7}}{144}\sqrt{144}$$

Express \frac{\frac{20}{7}}{144} as a single fraction.

$$\frac{20}{7\times 144}\sqrt{144}$$

Multiply 7 and 144 to get 1008.

$$\frac{20}{1008}\sqrt{144}$$

Reduce the fraction \frac{20}{1008} to lowest terms by extracting and canceling out 4.

$$\frac{5}{252}\sqrt{144}$$

Calculate the square root of 144 and get 12.

$$\frac{5}{252}\times 12$$

Express \frac{5}{252}\times 12 as a single fraction.

$$\frac{5\times 12}{252}$$

Multiply 5 and 12 to get 60.

$$\frac{60}{252}$$

Reduce the fraction \frac{60}{252} to lowest terms by extracting and canceling out 12.

$$\frac{5}{21}$$

Factor

$$\frac{5}{3 \cdot 7} = 0.23809523809523808$$