Solve 2*2*2*3.14+2*2*3.14*4.2div3

$$2 \times 2 \times 2 \times 3.14+2 \times 2 \times 3.14 \times 4.2 \div 3$$

Evaluate

$$42.704$$

Solution Steps

Multiply 2 and 2 to get 4.

$$4\times 2\times 3.14+\frac{2\times 2\times 3.14\times 4.2}{3}$$

Multiply 4 and 2 to get 8.

$$8\times 3.14+\frac{2\times 2\times 3.14\times 4.2}{3}$$

Multiply 8 and 3.14 to get 25.12.

$$25.12+\frac{2\times 2\times 3.14\times 4.2}{3}$$

Multiply 2 and 2 to get 4.

$$25.12+\frac{4\times 3.14\times 4.2}{3}$$

Multiply 4 and 3.14 to get 12.56.

$$25.12+\frac{12.56\times 4.2}{3}$$

Multiply 12.56 and 4.2 to get 52.752.

$$25.12+\frac{52.752}{3}$$

Expand \frac{52.752}{3} by multiplying both numerator and the denominator by 1000.

$$25.12+\frac{52752}{3000}$$

Reduce the fraction \frac{52752}{3000} to lowest terms by extracting and canceling out 24.

$$25.12+\frac{2198}{125}$$

Convert decimal number 25.12 to fraction \frac{2512}{100}. Reduce the fraction \frac{2512}{100} to lowest terms by extracting and canceling out 4.

$$\frac{628}{25}+\frac{2198}{125}$$

Least common multiple of 25 and 125 is 125. Convert \frac{628}{25} and \frac{2198}{125} to fractions with denominator 125.

$$\frac{3140}{125}+\frac{2198}{125}$$

Since \frac{3140}{125} and \frac{2198}{125} have the same denominator, add them by adding their numerators.

$$\frac{3140+2198}{125}$$

Add 3140 and 2198 to get 5338.

$$\frac{5338}{125}$$

Factor

$$\frac{2 \cdot 17 \cdot 157}{5 ^ {3}} = 42\frac{88}{125} = 42.704$$