Solve 1/3(3.14)1.5^2(5)

$$1 / 3 ( 3.14 ) 1.5 ^ { 2 } ( 5 )$$

Evaluate

$$11.775$$

Solution Steps

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.

$$\frac{1}{3}\times \frac{157}{50}\times 1.5^{2}\times 5$$

Multiply \frac{1}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{3\times 50}\times 1.5^{2}\times 5$$

Do the multiplications in the fraction \frac{1\times 157}{3\times 50}.

$$\frac{157}{150}\times 1.5^{2}\times 5$$

Calculate 1.5 to the power of 2 and get 2.25.

$$\frac{157}{150}\times 2.25\times 5$$

Convert decimal number 2.25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{157}{150}\times \frac{9}{4}\times 5$$

Multiply \frac{157}{150} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 9}{150\times 4}\times 5$$

Do the multiplications in the fraction \frac{157\times 9}{150\times 4}.

$$\frac{1413}{600}\times 5$$

Reduce the fraction \frac{1413}{600} to lowest terms by extracting and canceling out 3.

$$\frac{471}{200}\times 5$$

Express \frac{471}{200}\times 5 as a single fraction.

$$\frac{471\times 5}{200}$$

Multiply 471 and 5 to get 2355.

$$\frac{2355}{200}$$

Reduce the fraction \frac{2355}{200} to lowest terms by extracting and canceling out 5.

$$\frac{471}{40}$$

Factor

$$\frac{3 \cdot 157}{5 \cdot 2 ^ {3}} = 11\frac{31}{40} = 11.775$$