Solve (5/4-3/2*4/9)-4/5*2=

$$( \frac { 5 } { 4 } - \frac { 3 } { 2 } \cdot \frac { 4 } { 9 } ) - \frac { 4 } { 5 } \cdot 2 =$$

Evaluate

$$-\frac{61}{60}\approx -1.016666667$$

Solution Steps

Multiply \frac{3}{2} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{4}-\frac{3\times 4}{2\times 9}-\frac{4}{5}\times 2$$

Do the multiplications in the fraction \frac{3\times 4}{2\times 9}.

$$\frac{5}{4}-\frac{12}{18}-\frac{4}{5}\times 2$$

Reduce the fraction \frac{12}{18} to lowest terms by extracting and canceling out 6.

$$\frac{5}{4}-\frac{2}{3}-\frac{4}{5}\times 2$$

Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{15}{12}-\frac{8}{12}-\frac{4}{5}\times 2$$

Since \frac{15}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{12}-\frac{4}{5}\times 2$$

Subtract 8 from 15 to get 7.

$$\frac{7}{12}-\frac{4}{5}\times 2$$

Express \frac{4}{5}\times 2 as a single fraction.

$$\frac{7}{12}-\frac{4\times 2}{5}$$

Multiply 4 and 2 to get 8.

$$\frac{7}{12}-\frac{8}{5}$$

Least common multiple of 12 and 5 is 60. Convert \frac{7}{12} and \frac{8}{5} to fractions with denominator 60.

$$\frac{35}{60}-\frac{96}{60}$$

Since \frac{35}{60} and \frac{96}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-96}{60}$$

Subtract 96 from 35 to get -61.

$$-\frac{61}{60}$$

Factor

$$-\frac{61}{60} = -1\frac{1}{60} = -1.0166666666666666$$