Solve 2/3*3.146

$$\frac { 2 } { 3 } \times 3.146$$

Evaluate

$$\frac{1573}{750}\approx 2.097333333$$

Solution Steps

Convert decimal number 3.146 to fraction \frac{3146}{1000}. Reduce the fraction \frac{3146}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}\times \frac{1573}{500}$$

Multiply \frac{2}{3} times \frac{1573}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1573}{3\times 500}$$

Do the multiplications in the fraction \frac{2\times 1573}{3\times 500}.

$$\frac{3146}{1500}$$

Reduce the fraction \frac{3146}{1500} to lowest terms by extracting and canceling out 2.

$$\frac{1573}{750}$$

Factor

$$\frac{13 \cdot 11 ^ {2}}{2 \cdot 3 \cdot 5 ^ {3}} = 2\frac{73}{750} = 2.0973333333333333$$