Solve {l}{-57/9+}{-21/7}

$$\left. \begin{array} { l } { - 5 \frac { 7 } { 9 } + } \\ { - 2 \frac { 1 } { 7 } } \end{array} \right.$$

Evaluate

$$-\frac{499}{63}\approx -7.920634921$$

Solution Steps

Multiply 5 and 9 to get 45.

$$-\frac{45+7}{9}-\frac{2\times 7+1}{7}$$

Add 45 and 7 to get 52.

$$-\frac{52}{9}-\frac{2\times 7+1}{7}$$

Multiply 2 and 7 to get 14.

$$-\frac{52}{9}-\frac{14+1}{7}$$

Add 14 and 1 to get 15.

$$-\frac{52}{9}-\frac{15}{7}$$

Least common multiple of 9 and 7 is 63. Convert -\frac{52}{9} and \frac{15}{7} to fractions with denominator 63.

$$-\frac{364}{63}-\frac{135}{63}$$

Since -\frac{364}{63} and \frac{135}{63} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-364-135}{63}$$

Subtract 135 from -364 to get -499.

$$-\frac{499}{63}$$

Factor

$$-\frac{499}{63} = -7\frac{58}{63} = -7.920634920634921$$