Solve 15(2/3)-11(77/15)

$$15( \frac{ 2 }{ 3 } )-11( \frac{ 77 }{ 15 } )$$

Evaluate

$$-\frac{697}{15}\approx -46.466666667$$

Solution Steps

Express 15\times \frac{2}{3} as a single fraction.

$$\frac{15\times 2}{3}-11\times \frac{77}{15}$$

Multiply 15 and 2 to get 30.

$$\frac{30}{3}-11\times \frac{77}{15}$$

Divide 30 by 3 to get 10.

$$10-11\times \frac{77}{15}$$

Express 11\times \frac{77}{15} as a single fraction.

$$10-\frac{11\times 77}{15}$$

Multiply 11 and 77 to get 847.

$$10-\frac{847}{15}$$

Convert 10 to fraction \frac{150}{15}.

$$\frac{150}{15}-\frac{847}{15}$$

Since \frac{150}{15} and \frac{847}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{150-847}{15}$$

Subtract 847 from 150 to get -697.

$$-\frac{697}{15}$$

Factor

$$-\frac{697}{15} = -46\frac{7}{15} = -46.46666666666667$$