Solve (1/3-0.25)*22/3

$$( \frac { 1 } { 3 } - 0.25 ) \times 2 \frac { 2 } { 3 }$$

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\left(\frac{1}{3}-\frac{1}{4}\right)\times \frac{2\times 3+2}{3}$$

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$\left(\frac{4}{12}-\frac{3}{12}\right)\times \frac{2\times 3+2}{3}$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-3}{12}\times \frac{2\times 3+2}{3}$$

Subtract 3 from 4 to get 1.

$$\frac{1}{12}\times \frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{1}{12}\times \frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{1}{12}\times \frac{8}{3}$$

Multiply \frac{1}{12} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{12\times 3}$$

Do the multiplications in the fraction \frac{1\times 8}{12\times 3}.

$$\frac{8}{36}$$

Reduce the fraction \frac{8}{36} to lowest terms by extracting and canceling out 4.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$