Solve (2)^2*1.67/4*(3.14)^2

$$\frac { ( 2 ) ^ { 2 } \times 1.67 } { 4 \times ( 3.14 ) ^ { 2 } }$$

Evaluate

$$\frac{4175}{24649}\approx 0.169378068$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{4\times 1.67}{4\times 3.14^{2}}$$

Multiply 4 and 1.67 to get 6.68.

$$\frac{6.68}{4\times 3.14^{2}}$$

Calculate 3.14 to the power of 2 and get 9.8596.

$$\frac{6.68}{4\times 9.8596}$$

Multiply 4 and 9.8596 to get 39.4384.

$$\frac{6.68}{39.4384}$$

Expand \frac{6.68}{39.4384} by multiplying both numerator and the denominator by 10000.

$$\frac{66800}{394384}$$

Reduce the fraction \frac{66800}{394384} to lowest terms by extracting and canceling out 16.

$$\frac{4175}{24649}$$

Factor

$$\frac{167 \cdot 5 ^ {2}}{157 ^ {2}} = 0.169378068075784$$