Solve (3div2)^2*3,14*0,5*2=

$$( 3 \div 2 ) ^ { 2 } \times 3,14 \times 0,5 \times 2 =$$

Evaluate

$$7,065$$

Solution Steps

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$\frac{9}{4}\times 3,14\times 0,5\times 2$$

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.

$$\frac{9}{4}\times \frac{157}{50}\times 0,5\times 2$$

Multiply \frac{9}{4} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 157}{4\times 50}\times 0,5\times 2$$

Do the multiplications in the fraction \frac{9\times 157}{4\times 50}.

$$\frac{1413}{200}\times 0,5\times 2$$

Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1413}{200}\times \frac{1}{2}\times 2$$

Multiply \frac{1413}{200} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1413\times 1}{200\times 2}\times 2$$

Do the multiplications in the fraction \frac{1413\times 1}{200\times 2}.

$$\frac{1413}{400}\times 2$$

Express \frac{1413}{400}\times 2 as a single fraction.

$$\frac{1413\times 2}{400}$$

Multiply 1413 and 2 to get 2826.

$$\frac{2826}{400}$$

Reduce the fraction \frac{2826}{400} to lowest terms by extracting and canceling out 2.

$$\frac{1413}{200}$$

Factor

$$\frac{157 \cdot 3 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 7\frac{13}{200} = 7.065$$