Solve -52/3-52/9-16/6=

$$\frac { - 52 } { 3 } - \frac { 52 } { 9 } - \frac { 16 } { 6 } =$$

Evaluate

$$-\frac{232}{9}\approx -25.777777778$$

Solution Steps

Fraction \frac{-52}{3} can be rewritten as -\frac{52}{3} by extracting the negative sign.

$$-\frac{52}{3}-\frac{52}{9}-\frac{16}{6}$$

Least common multiple of 3 and 9 is 9. Convert -\frac{52}{3} and \frac{52}{9} to fractions with denominator 9.

$$-\frac{156}{9}-\frac{52}{9}-\frac{16}{6}$$

Since -\frac{156}{9} and \frac{52}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-156-52}{9}-\frac{16}{6}$$

Subtract 52 from -156 to get -208.

$$-\frac{208}{9}-\frac{16}{6}$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{208}{9}-\frac{8}{3}$$

Least common multiple of 9 and 3 is 9. Convert -\frac{208}{9} and \frac{8}{3} to fractions with denominator 9.

$$-\frac{208}{9}-\frac{24}{9}$$

Since -\frac{208}{9} and \frac{24}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-208-24}{9}$$

Subtract 24 from -208 to get -232.

$$-\frac{232}{9}$$

Factor

$$-\frac{232}{9} = -25\frac{7}{9} = -25.77777777777778$$