Solve 45/360*22/7*14^2

$$\frac { 45 } { 360 } \times \frac { 22 } { 7 } \times 14 ^ { 2 }$$

Evaluate

$$77$$

Solution Steps

Reduce the fraction \frac{45}{360} to lowest terms by extracting and canceling out 45.

$$\frac{1}{8}\times \frac{22}{7}\times 14^{2}$$

Multiply \frac{1}{8} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 22}{8\times 7}\times 14^{2}$$

Do the multiplications in the fraction \frac{1\times 22}{8\times 7}.

$$\frac{22}{56}\times 14^{2}$$

Reduce the fraction \frac{22}{56} to lowest terms by extracting and canceling out 2.

$$\frac{11}{28}\times 14^{2}$$

Calculate 14 to the power of 2 and get 196.

$$\frac{11}{28}\times 196$$

Express \frac{11}{28}\times 196 as a single fraction.

$$\frac{11\times 196}{28}$$

Multiply 11 and 196 to get 2156.

$$\frac{2156}{28}$$

Divide 2156 by 28 to get 77.

$$77$$

Factor

$$7\times 11$$