Solve -2/3*3/5+5/5-3/5*frac{1}{6}

$$- \frac { 2 } { 3 } \times \frac { 3 } { 5 } + \frac { 5 } { 5 } - \frac { 3 } { 5 } \times \frac { 1 } { 6 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Divide 5 by 5 to get 1.

$$-\frac{2}{3}\times \frac{3}{5}+1-\frac{3}{5}\times \frac{1}{6}$$

Multiply -\frac{2}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 3}{3\times 5}+1-\frac{3}{5}\times \frac{1}{6}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-2}{5}+1-\frac{3}{5}\times \frac{1}{6}$$

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$-\frac{2}{5}+1-\frac{3}{5}\times \frac{1}{6}$$

Convert 1 to fraction \frac{5}{5}.

$$-\frac{2}{5}+\frac{5}{5}-\frac{3}{5}\times \frac{1}{6}$$

Since -\frac{2}{5} and \frac{5}{5} have the same denominator, add them by adding their numerators.

$$\frac{-2+5}{5}-\frac{3}{5}\times \frac{1}{6}$$

Add -2 and 5 to get 3.

$$\frac{3}{5}-\frac{3}{5}\times \frac{1}{6}$$

Multiply \frac{3}{5} times \frac{1}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{5}-\frac{3\times 1}{5\times 6}$$

Do the multiplications in the fraction \frac{3\times 1}{5\times 6}.

$$\frac{3}{5}-\frac{3}{30}$$

Reduce the fraction \frac{3}{30} to lowest terms by extracting and canceling out 3.

$$\frac{3}{5}-\frac{1}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{3}{5} and \frac{1}{10} to fractions with denominator 10.

$$\frac{6}{10}-\frac{1}{10}$$

Since \frac{6}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{10}$$

Subtract 1 from 6 to get 5.

$$\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$