Solve -45/6+(-53/5)

$$- 4 \frac { 5 } { 6 } + ( - 5 \frac { 3 } { 5 } )$$

Evaluate

$$-\frac{313}{30}\approx -10.433333333$$

Solution Steps

Multiply 4 and 6 to get 24.

$$-\frac{24+5}{6}-\frac{5\times 5+3}{5}$$

Add 24 and 5 to get 29.

$$-\frac{29}{6}-\frac{5\times 5+3}{5}$$

Multiply 5 and 5 to get 25.

$$-\frac{29}{6}-\frac{25+3}{5}$$

Add 25 and 3 to get 28.

$$-\frac{29}{6}-\frac{28}{5}$$

Least common multiple of 6 and 5 is 30. Convert -\frac{29}{6} and \frac{28}{5} to fractions with denominator 30.

$$-\frac{145}{30}-\frac{168}{30}$$

Since -\frac{145}{30} and \frac{168}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-145-168}{30}$$

Subtract 168 from -145 to get -313.

$$-\frac{313}{30}$$

Factor

$$-\frac{313}{30} = -10\frac{13}{30} = -10.433333333333334$$