Solve (5/4+2+10/3):(-5)

$$( \frac { 5 } { 4 } + 2 + \frac { 10 } { 3 } ) : ( - 5 )$$

Evaluate

$$-\frac{79}{60}\approx -1.316666667$$

Solution Steps

Convert 2 to fraction \frac{8}{4}.

$$\frac{\frac{5}{4}+\frac{8}{4}+\frac{10}{3}}{-5}$$

Since \frac{5}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5+8}{4}+\frac{10}{3}}{-5}$$

Add 5 and 8 to get 13.

$$\frac{\frac{13}{4}+\frac{10}{3}}{-5}$$

Least common multiple of 4 and 3 is 12. Convert \frac{13}{4} and \frac{10}{3} to fractions with denominator 12.

$$\frac{\frac{39}{12}+\frac{40}{12}}{-5}$$

Since \frac{39}{12} and \frac{40}{12} have the same denominator, add them by adding their numerators.

$$\frac{\frac{39+40}{12}}{-5}$$

Add 39 and 40 to get 79.

$$\frac{\frac{79}{12}}{-5}$$

Express \frac{\frac{79}{12}}{-5} as a single fraction.

$$\frac{79}{12\left(-5\right)}$$

Multiply 12 and -5 to get -60.

$$\frac{79}{-60}$$

Fraction \frac{79}{-60} can be rewritten as -\frac{79}{60} by extracting the negative sign.

$$-\frac{79}{60}$$

Factor

$$-\frac{79}{60} = -1\frac{19}{60} = -1.3166666666666667$$