Solve 90/3603.14*5*5

$$\frac{ 90 }{ 360 } 3.14 \times 5 \times 5$$

Evaluate

$$19.625$$

Solution Steps

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

$$\frac{1}{4}\times 3.14\times 5\times 5$$

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.

$$\frac{1}{4}\times \frac{157}{50}\times 5\times 5$$

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

$$\frac{1\times 157}{4\times 50}\times 5\times 5$$

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

$$\frac{157}{200}\times 5\times 5$$

Express \frac{157}{200}\times 5 as a single fraction.

$$\frac{157\times 5}{200}\times 5$$

Multiply 157 and 5 to get 785.

$$\frac{785}{200}\times 5$$

Reduce the fraction \frac{785}{200} to lowest terms by extracting and canceling out 5.

$$\frac{157}{40}\times 5$$

Express \frac{157}{40}\times 5 as a single fraction.

$$\frac{157\times 5}{40}$$

Multiply 157 and 5 to get 785.

$$\frac{785}{40}$$

Reduce the fraction \frac{785}{40} to lowest terms by extracting and canceling out 5.

$$\frac{157}{8}$$

Factor

$$\frac{157}{2 ^ {3}} = 19\frac{5}{8} = 19.625$$