Solve 0.2:27/25-2/3=

$$0.2 : \frac { 27 } { 25 } - \frac { 2 } { 3 } =$$

Evaluate

$$-\frac{13}{27}\approx -0.481481481$$

Solution Steps

Divide 0.2 by \frac{27}{25} by multiplying 0.2 by the reciprocal of \frac{27}{25}.

$$0.2\times \frac{25}{27}-\frac{2}{3}$$

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.

$$\frac{1}{5}\times \frac{25}{27}-\frac{2}{3}$$

Multiply \frac{1}{5} times \frac{25}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 25}{5\times 27}-\frac{2}{3}$$

Do the multiplications in the fraction \frac{1\times 25}{5\times 27}.

$$\frac{25}{135}-\frac{2}{3}$$

Reduce the fraction \frac{25}{135} to lowest terms by extracting and canceling out 5.

$$\frac{5}{27}-\frac{2}{3}$$

Least common multiple of 27 and 3 is 27. Convert \frac{5}{27} and \frac{2}{3} to fractions with denominator 27.

$$\frac{5}{27}-\frac{18}{27}$$

Since \frac{5}{27} and \frac{18}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-18}{27}$$

Subtract 18 from 5 to get -13.

$$-\frac{13}{27}$$

Factor

$$-\frac{13}{27} = -0.48148148148148145$$