Solve 1/4*22/7*{left(7/2div2right)}^2

$$\frac{ 1 }{ 4 } \times \frac{ 22 }{ 7 } \times { \left( \frac{ 7 }{ 2 } \div 2 \right) }^{ 2 }$$

Evaluate

$$\frac{77}{32}=2.40625$$

Solution Steps

Multiply \frac{1}{4} and \frac{22}{7} to get \frac{11}{14}.

$$\frac{11}{14}\times \left(\frac{\frac{7}{2}}{2}\right)^{2}$$

Express \frac{\frac{7}{2}}{2} as a single fraction.

$$\frac{11}{14}\times \left(\frac{7}{2\times 2}\right)^{2}$$

Multiply 2 and 2 to get 4.

$$\frac{11}{14}\times \left(\frac{7}{4}\right)^{2}$$

Calculate \frac{7}{4} to the power of 2 and get \frac{49}{16}.

$$\frac{11}{14}\times \frac{49}{16}$$

Multiply \frac{11}{14} and \frac{49}{16} to get \frac{77}{32}.

$$\frac{77}{32}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {5}} = 2\frac{13}{32} = 2.40625$$