Solve 60/360*3.14*6^2

$$\frac { 60 } { 360 } \times 3.14 \times 6 ^ { 2 }$$

Evaluate

$$18.84$$

Solution Steps

Reduce the fraction \frac{60}{360} to lowest terms by extracting and canceling out 60.

$$\frac{1}{6}\times 3.14\times 6^{2}$$

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{6}\times \frac{157}{50}\times 6^{2}$$

Multiply \frac{1}{6} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{6\times 50}\times 6^{2}$$

Do the multiplications in the fraction \frac{1\times 157}{6\times 50}.

$$\frac{157}{300}\times 6^{2}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{157}{300}\times 36$$

Express \frac{157}{300}\times 36 as a single fraction.

$$\frac{157\times 36}{300}$$

Multiply 157 and 36 to get 5652.

$$\frac{5652}{300}$$

Reduce the fraction \frac{5652}{300} to lowest terms by extracting and canceling out 12.

$$\frac{471}{25}$$

Factor

$$\frac{3 \cdot 157}{5 ^ {2}} = 18\frac{21}{25} = 18.84$$