Solve (1-14/15)-4/9*5/15

$$( 1 - \frac { 14 } { 15 } ) - \frac { 4 } { 9 } \times \frac { 5 } { 15 }$$

Evaluate

$$-\frac{11}{135}\approx -0.081481481$$

Solution Steps

Convert 1 to fraction \frac{15}{15}.

$$\frac{15}{15}-\frac{14}{15}-\frac{4}{9}\times \frac{5}{15}$$

Since \frac{15}{15} and \frac{14}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-14}{15}-\frac{4}{9}\times \frac{5}{15}$$

Subtract 14 from 15 to get 1.

$$\frac{1}{15}-\frac{4}{9}\times \frac{5}{15}$$

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$\frac{1}{15}-\frac{4}{9}\times \frac{1}{3}$$

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

$$\frac{1}{15}-\frac{4\times 1}{9\times 3}$$

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

$$\frac{1}{15}-\frac{4}{27}$$

Least common multiple of 15 and 27 is 135. Convert \frac{1}{15} and \frac{4}{27} to fractions with denominator 135.

$$\frac{9}{135}-\frac{20}{135}$$

Since \frac{9}{135} and \frac{20}{135} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-20}{135}$$

Subtract 20 from 9 to get -11.

$$-\frac{11}{135}$$

Factor

$$-\frac{11}{135} = -0.08148148148148149$$