Solve 1/3*3.14*2^2*2.4

$$\frac { 1 } { 3 } \times 3.14 \times 2 ^ { 2 } \times 2.4$$

Evaluate

$$10.048$$

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.

$$\frac{1}{3}\times \frac{157}{50}\times 2^{2}\times 2.4$$

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

$$\frac{1\times 157}{3\times 50}\times 2^{2}\times 2.4$$

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

$$\frac{157}{150}\times 2^{2}\times 2.4$$

Calculate 2 to the power of 2 and get 4.

$$\frac{157}{150}\times 4\times 2.4$$

Express \frac{157}{150}\times 4 as a single fraction.

$$\frac{157\times 4}{150}\times 2.4$$

Multiply 157 and 4 to get 628.

$$\frac{628}{150}\times 2.4$$

Reduce the fraction \frac{628}{150} to lowest terms by extracting and canceling out 2.

$$\frac{314}{75}\times 2.4$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{314}{75}\times \frac{12}{5}$$

Multiply \frac{314}{75} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{314\times 12}{75\times 5}$$

Do the multiplications in the fraction \frac{314\times 12}{75\times 5}.

$$\frac{3768}{375}$$

Reduce the fraction \frac{3768}{375} to lowest terms by extracting and canceling out 3.

$$\frac{1256}{125}$$

Factor

$$\frac{157 \cdot 2 ^ {3}}{5 ^ {3}} = 10\frac{6}{125} = 10.048$$