Solve 1/3*7.065*2

$$\frac { 1 } { 3 } \times 7.065 \times 2$$

Evaluate

$$4.71$$

Solution Steps

Convert decimal number 7.065 to fraction \frac{7065}{1000}. Reduce the fraction \frac{7065}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{1}{3}\times \frac{1413}{200}\times 2$$

Multiply \frac{1}{3} times \frac{1413}{200} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1413}{3\times 200}\times 2$$

Do the multiplications in the fraction \frac{1\times 1413}{3\times 200}.

$$\frac{1413}{600}\times 2$$

Reduce the fraction \frac{1413}{600} to lowest terms by extracting and canceling out 3.

$$\frac{471}{200}\times 2$$

Express \frac{471}{200}\times 2 as a single fraction.

$$\frac{471\times 2}{200}$$

Multiply 471 and 2 to get 942.

$$\frac{942}{200}$$

Reduce the fraction \frac{942}{200} to lowest terms by extracting and canceling out 2.

$$\frac{471}{100}$$

Factor

$$\frac{3 \cdot 157}{2 ^ {2} \cdot 5 ^ {2}} = 4\frac{71}{100} = 4.71$$