Solve 60^circ/360^circ*3.14*10

$$\frac { 60 ^ { \circ } } { 360 ^ { \circ } } \times 3.14 \times 10$$

Evaluate

$$\frac{157}{30}\approx 5.233333333$$

Solution Steps

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

$$\frac{1}{6}\times 3.14\times 10$$

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.

$$\frac{1}{6}\times \frac{157}{50}\times 10$$

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

$$\frac{1\times 157}{6\times 50}\times 10$$

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

$$\frac{157}{300}\times 10$$

Express \frac{157}{300}\times 10 as a single fraction.

$$\frac{157\times 10}{300}$$

Multiply 157 and 10 to get 1570.

$$\frac{1570}{300}$$

Reduce the fraction \frac{1570}{300} to lowest terms by extracting and canceling out 10.

$$\frac{157}{30}$$

Factor

$$\frac{157}{2 \cdot 3 \cdot 5} = 5\frac{7}{30} = 5.233333333333333$$