Solve 3.14*2^2*6+3.14*2^2*15*1/3

$$3.14 \times { 2 }^{ 2 } \times 6+3.14 \times { 2 }^{ 2 } \times 15 \times \frac{ 1 }{ 3 }$$

Evaluate

$$138.16$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$3.14\times 4\times 6+3.14\times 2^{2}\times 15\times \frac{1}{3}$$

Multiply 3.14 and 4 to get 12.56.

$$12.56\times 6+3.14\times 2^{2}\times 15\times \frac{1}{3}$$

Multiply 12.56 and 6 to get 75.36.

$$75.36+3.14\times 2^{2}\times 15\times \frac{1}{3}$$

Calculate 2 to the power of 2 and get 4.

$$75.36+3.14\times 4\times 15\times \frac{1}{3}$$

Multiply 3.14 and 4 to get 12.56.

$$75.36+12.56\times 15\times \frac{1}{3}$$

Multiply 12.56 and 15 to get 188.4.

$$75.36+188.4\times \frac{1}{3}$$

Convert decimal number 188.4 to fraction \frac{1884}{10}. Reduce the fraction \frac{1884}{10} to lowest terms by extracting and canceling out 2.

$$75.36+\frac{942}{5}\times \frac{1}{3}$$

Multiply \frac{942}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$75.36+\frac{942\times 1}{5\times 3}$$

Do the multiplications in the fraction \frac{942\times 1}{5\times 3}.

$$75.36+\frac{942}{15}$$

Reduce the fraction \frac{942}{15} to lowest terms by extracting and canceling out 3.

$$75.36+\frac{314}{5}$$

Convert decimal number 75.36 to fraction \frac{7536}{100}. Reduce the fraction \frac{7536}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1884}{25}+\frac{314}{5}$$

Least common multiple of 25 and 5 is 25. Convert \frac{1884}{25} and \frac{314}{5} to fractions with denominator 25.

$$\frac{1884}{25}+\frac{1570}{25}$$

Since \frac{1884}{25} and \frac{1570}{25} have the same denominator, add them by adding their numerators.

$$\frac{1884+1570}{25}$$

Add 1884 and 1570 to get 3454.

$$\frac{3454}{25}$$

Factor

$$\frac{2 \cdot 11 \cdot 157}{5 ^ {2}} = 138\frac{4}{25} = 138.16$$