Solve 80/360*22/7*7^2

$$\frac { 80 } { 360 } \times \frac { 22 } { 7 } \times 7 ^ { 2 }$$

Evaluate

$$\frac{308}{9}\approx 34.222222222$$

Solution Steps

Reduce the fraction \frac{80}{360} to lowest terms by extracting and canceling out 40.

$$\frac{2}{9}\times \frac{22}{7}\times 7^{2}$$

Multiply \frac{2}{9} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 22}{9\times 7}\times 7^{2}$$

Do the multiplications in the fraction \frac{2\times 22}{9\times 7}.

$$\frac{44}{63}\times 7^{2}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{44}{63}\times 49$$

Express \frac{44}{63}\times 49 as a single fraction.

$$\frac{44\times 49}{63}$$

Multiply 44 and 49 to get 2156.

$$\frac{2156}{63}$$

Reduce the fraction \frac{2156}{63} to lowest terms by extracting and canceling out 7.

$$\frac{308}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 7 \cdot 11}{3 ^ {2}} = 34\frac{2}{9} = 34.22222222222222$$