Solve -(-3)*2pi+4pi/3*4/3

$$- ( - 3 ) \times 2 \pi + \frac { 4 \pi } { 3 } \cdot \frac { 4 } { 3 }$$

Evaluate

$$\frac{70\pi }{9}\approx 24.434609528$$

Short Solution Steps

The opposite of -3 is 3.

$$3\times 2\pi +\frac{4\pi }{3}\times \frac{4}{3}$$

Multiply 3 and 2 to get 6.

$$6\pi +\frac{4\pi }{3}\times \frac{4}{3}$$

Multiply \frac{4\pi }{3} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$6\pi +\frac{4\pi \times 4}{3\times 3}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 6\pi times \frac{3\times 3}{3\times 3}.

$$\frac{6\pi \times 3\times 3}{3\times 3}+\frac{4\pi \times 4}{3\times 3}$$

Since \frac{6\pi \times 3\times 3}{3\times 3} and \frac{4\pi \times 4}{3\times 3} have the same denominator, add them by adding their numerators.

$$\frac{6\pi \times 3\times 3+4\pi \times 4}{3\times 3}$$

Do the multiplications in 6\pi \times 3\times 3+4\pi \times 4.

$$\frac{54\pi +16\pi }{3\times 3}$$

Combine like terms in 54\pi +16\pi .

$$\frac{70\pi }{3\times 3}$$

Expand 3\times 3.

$$\frac{70\pi }{9}$$