Solve 8/3*1.732

$$\frac { 8 } { 3 } \times 1.732$$

Evaluate

$$\frac{1732}{375}\approx 4.618666667$$

Solution Steps

Convert decimal number 1.732 to fraction \frac{1732}{1000}. Reduce the fraction \frac{1732}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{8}{3}\times \frac{433}{250}$$

Multiply \frac{8}{3} times \frac{433}{250} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 433}{3\times 250}$$

Do the multiplications in the fraction \frac{8\times 433}{3\times 250}.

$$\frac{3464}{750}$$

Reduce the fraction \frac{3464}{750} to lowest terms by extracting and canceling out 2.

$$\frac{1732}{375}$$

Factor

$$\frac{433 \cdot 2 ^ {2}}{3 \cdot 5 ^ {3}} = 4\frac{232}{375} = 4.618666666666667$$