Solve 3/4*22/7*14^2

$$\frac { 3 } { 4 } \times \frac { 22 } { 7 } \times 14 ^ { 2 }$$

Evaluate

$$462$$

Solution Steps

Multiply \frac{3}{4} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 22}{4\times 7}\times 14^{2}$$

Do the multiplications in the fraction \frac{3\times 22}{4\times 7}.

$$\frac{66}{28}\times 14^{2}$$

Reduce the fraction \frac{66}{28} to lowest terms by extracting and canceling out 2.

$$\frac{33}{14}\times 14^{2}$$

Calculate 14 to the power of 2 and get 196.

$$\frac{33}{14}\times 196$$

Express \frac{33}{14}\times 196 as a single fraction.

$$\frac{33\times 196}{14}$$

Multiply 33 and 196 to get 6468.

$$\frac{6468}{14}$$

Divide 6468 by 14 to get 462.

$$462$$

Factor

$$2\times 3\times 7\times 11$$