Solve (10/17)^2div5pi/(3+7)

$$( \frac { 10 } { 17 } ) ^ { 2 } \div \frac { 5 \pi } { ( 3 + 7 ) }$$

Evaluate

$$\frac{200}{289\pi }\approx 0.220283658$$

Solution Steps

Calculate \frac{10}{17} to the power of 2 and get \frac{100}{289}.

$$\frac{\frac{100}{289}}{\frac{5\pi }{3+7}}$$

Add 3 and 7 to get 10.

$$\frac{\frac{100}{289}}{\frac{5\pi }{10}}$$

Divide 5\pi by 10 to get \frac{1}{2}\pi .

$$\frac{\frac{100}{289}}{\frac{1}{2}\pi }$$

Express \frac{\frac{100}{289}}{\frac{1}{2}\pi } as a single fraction.

$$\frac{100}{289\times \frac{1}{2}\pi }$$

Multiply 289 and \frac{1}{2} to get \frac{289}{2}.

$$\frac{100}{\frac{289}{2}\pi }$$