Solve 16cm^2-22/7*4cm^2/16cm^2

$$\frac { 16 cm ^ { 2 } - \frac { 22 } { 7 } \times 4 cm ^ { 2 } } { 16 cm ^ { 2 } }$$

Evaluate

$$\frac{3}{14}\approx 0.214285714$$

Solution Steps

Multiply \frac{22}{7} and 4 to get \frac{88}{7}.

$$\frac{16cm^{2}-\frac{88}{7}cm^{2}}{16cm^{2}}$$

Combine 16cm^{2} and -\frac{88}{7}cm^{2} to get \frac{24}{7}cm^{2}.

$$\frac{\frac{24}{7}cm^{2}}{16cm^{2}}$$

Cancel out cm^{2} in both numerator and denominator.

$$\frac{\frac{24}{7}}{16}$$

Express \frac{\frac{24}{7}}{16} as a single fraction.

$$\frac{24}{7\times 16}$$

Multiply 7 and 16 to get 112.

$$\frac{24}{112}$$

Reduce the fraction \frac{24}{112} to lowest terms by extracting and canceling out 8.

$$\frac{3}{14}$$

Factor

$$\frac{3}{2 \cdot 7} = 0.21428571428571427$$