Solve =19*5+(5/2-13)9/15

$$= 19 \cdot \frac { 5 + ( 5 / 2 - 13 ) 9 } { 15 }$$

Evaluate

$$-\frac{3401}{30}\approx -113.366666667$$

Solution Steps

Convert 13 to fraction \frac{26}{2}.

$$19\times \frac{5+\left(\frac{5}{2}-\frac{26}{2}\right)\times 9}{15}$$

Since \frac{5}{2} and \frac{26}{2} have the same denominator, subtract them by subtracting their numerators.

$$19\times \frac{5+\frac{5-26}{2}\times 9}{15}$$

Subtract 26 from 5 to get -21.

$$19\times \frac{5-\frac{21}{2}\times 9}{15}$$

Express -\frac{21}{2}\times 9 as a single fraction.

$$19\times \frac{5+\frac{-21\times 9}{2}}{15}$$

Multiply -21 and 9 to get -189.

$$19\times \frac{5+\frac{-189}{2}}{15}$$

Fraction \frac{-189}{2} can be rewritten as -\frac{189}{2} by extracting the negative sign.

$$19\times \frac{5-\frac{189}{2}}{15}$$

Convert 5 to fraction \frac{10}{2}.

$$19\times \frac{\frac{10}{2}-\frac{189}{2}}{15}$$

Since \frac{10}{2} and \frac{189}{2} have the same denominator, subtract them by subtracting their numerators.

$$19\times \frac{\frac{10-189}{2}}{15}$$

Subtract 189 from 10 to get -179.

$$19\times \frac{-\frac{179}{2}}{15}$$

Express \frac{-\frac{179}{2}}{15} as a single fraction.

$$19\times \frac{-179}{2\times 15}$$

Multiply 2 and 15 to get 30.

$$19\times \frac{-179}{30}$$

Fraction \frac{-179}{30} can be rewritten as -\frac{179}{30} by extracting the negative sign.

$$19\left(-\frac{179}{30}\right)$$

Express 19\left(-\frac{179}{30}\right) as a single fraction.

$$\frac{19\left(-179\right)}{30}$$

Multiply 19 and -179 to get -3401.

$$\frac{-3401}{30}$$

Fraction \frac{-3401}{30} can be rewritten as -\frac{3401}{30} by extracting the negative sign.

$$-\frac{3401}{30}$$

Factor

$$-\frac{3401}{30} = -113\frac{11}{30} = -113.36666666666666$$