Solve 2^2*3.14*1.8div3*1.5

$$2 ^ { 2 } \times 3.14 \times 1.8 \div 3 \times 1.5$$

Evaluate

$$11.304$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{4\times 3.14\times 1.8}{3}\times 1.5$$

Multiply 4 and 3.14 to get 12.56.

$$\frac{12.56\times 1.8}{3}\times 1.5$$

Multiply 12.56 and 1.8 to get 22.608.

$$\frac{22.608}{3}\times 1.5$$

Expand \frac{22.608}{3} by multiplying both numerator and the denominator by 1000.

$$\frac{22608}{3000}\times 1.5$$

Reduce the fraction \frac{22608}{3000} to lowest terms by extracting and canceling out 24.

$$\frac{942}{125}\times 1.5$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{942}{125}\times \frac{3}{2}$$

Multiply \frac{942}{125} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{942\times 3}{125\times 2}$$

Do the multiplications in the fraction \frac{942\times 3}{125\times 2}.

$$\frac{2826}{250}$$

Reduce the fraction \frac{2826}{250} to lowest terms by extracting and canceling out 2.

$$\frac{1413}{125}$$

Factor

$$\frac{157 \cdot 3 ^ {2}}{5 ^ {3}} = 11\frac{38}{125} = 11.304$$