Solve (1-4/7).2

$$(1- \frac{ 4 }{ 7 } ).2$$

Evaluate

$$\frac{3}{35}\approx 0.085714286$$

Solution Steps

Convert 1 to fraction \frac{7}{7}.

$$\left(\frac{7}{7}-\frac{4}{7}\right)\times 0.2$$

Since \frac{7}{7} and \frac{4}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-4}{7}\times 0.2$$

Subtract 4 from 7 to get 3.

$$\frac{3}{7}\times 0.2$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{7}\times \frac{1}{5}$$

Multiply \frac{3}{7} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{7\times 5}$$

Do the multiplications in the fraction \frac{3\times 1}{7\times 5}.

$$\frac{3}{35}$$

Factor

$$\frac{3}{5 \cdot 7} = 0.08571428571428572$$