Solve 1/3-4/3*1/3*1/3=

$$\frac { 1 } { 3 } - \frac { 4 } { 3 } \cdot \frac { 1 } { 3 } \cdot \frac { 1 } { 3 } =$$

Evaluate

$$\frac{5}{27}\approx 0.185185185$$

Solution Steps

Multiply \frac{4}{3} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}-\frac{4\times 1}{3\times 3}\times \frac{1}{3}$$

Do the multiplications in the fraction \frac{4\times 1}{3\times 3}.

$$\frac{1}{3}-\frac{4}{9}\times \frac{1}{3}$$

Multiply \frac{4}{9} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}-\frac{4\times 1}{9\times 3}$$

Do the multiplications in the fraction \frac{4\times 1}{9\times 3}.

$$\frac{1}{3}-\frac{4}{27}$$

Least common multiple of 3 and 27 is 27. Convert \frac{1}{3} and \frac{4}{27} to fractions with denominator 27.

$$\frac{9}{27}-\frac{4}{27}$$

Since \frac{9}{27} and \frac{4}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{27}$$

Subtract 4 from 9 to get 5.

$$\frac{5}{27}$$

Factor

$$\frac{5}{3 ^ {3}} = 0.18518518518518517$$