Solve 90/360*3.14*40

$$\frac{ 90 }{ 360 } \times 3.14 \times 40$$

Evaluate

$$31.4$$

Solution Steps

Reduce the fraction \frac{90}{360} to lowest terms by extracting and canceling out 90.

$$\frac{1}{4}\times 3.14\times 40$$

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.

$$\frac{1}{4}\times \frac{157}{50}\times 40$$

Multiply \frac{1}{4} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{4\times 50}\times 40$$

Do the multiplications in the fraction \frac{1\times 157}{4\times 50}.

$$\frac{157}{200}\times 40$$

Express \frac{157}{200}\times 40 as a single fraction.

$$\frac{157\times 40}{200}$$

Multiply 157 and 40 to get 6280.

$$\frac{6280}{200}$$

Reduce the fraction \frac{6280}{200} to lowest terms by extracting and canceling out 40.

$$\frac{157}{5}$$

Factor

$$\frac{157}{5} = 31\frac{2}{5} = 31.4$$