Solve -554/72+424/72+-654/72=

$$- 5 \frac { 54 } { 72 } + 4 \frac { 24 } { 72 } +- 6 \frac { 54 } { 72 } =$$

Evaluate

$$-\frac{49}{6}\approx -8.166666667$$

Solution Steps

Multiply 5 and 72 to get 360.

$$-\frac{360+54}{72}+\frac{4\times 72+24}{72}-\frac{6\times 72+54}{72}$$

Add 360 and 54 to get 414.

$$-\frac{414}{72}+\frac{4\times 72+24}{72}-\frac{6\times 72+54}{72}$$

Reduce the fraction \frac{414}{72} to lowest terms by extracting and canceling out 18.

$$-\frac{23}{4}+\frac{4\times 72+24}{72}-\frac{6\times 72+54}{72}$$

Multiply 4 and 72 to get 288.

$$-\frac{23}{4}+\frac{288+24}{72}-\frac{6\times 72+54}{72}$$

Add 288 and 24 to get 312.

$$-\frac{23}{4}+\frac{312}{72}-\frac{6\times 72+54}{72}$$

Reduce the fraction \frac{312}{72} to lowest terms by extracting and canceling out 24.

$$-\frac{23}{4}+\frac{13}{3}-\frac{6\times 72+54}{72}$$

Least common multiple of 4 and 3 is 12. Convert -\frac{23}{4} and \frac{13}{3} to fractions with denominator 12.

$$-\frac{69}{12}+\frac{52}{12}-\frac{6\times 72+54}{72}$$

Since -\frac{69}{12} and \frac{52}{12} have the same denominator, add them by adding their numerators.

$$\frac{-69+52}{12}-\frac{6\times 72+54}{72}$$

Add -69 and 52 to get -17.

$$-\frac{17}{12}-\frac{6\times 72+54}{72}$$

Multiply 6 and 72 to get 432.

$$-\frac{17}{12}-\frac{432+54}{72}$$

Add 432 and 54 to get 486.

$$-\frac{17}{12}-\frac{486}{72}$$

Reduce the fraction \frac{486}{72} to lowest terms by extracting and canceling out 18.

$$-\frac{17}{12}-\frac{27}{4}$$

Least common multiple of 12 and 4 is 12. Convert -\frac{17}{12} and \frac{27}{4} to fractions with denominator 12.

$$-\frac{17}{12}-\frac{81}{12}$$

Since -\frac{17}{12} and \frac{81}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-17-81}{12}$$

Subtract 81 from -17 to get -98.

$$\frac{-98}{12}$$

Reduce the fraction \frac{-98}{12} to lowest terms by extracting and canceling out 2.

$$-\frac{49}{6}$$

Factor

$$-\frac{49}{6} = -8\frac{1}{6} = -8.166666666666666$$