Solve 159/13+(-207/33)

$$15 \frac { 9 } { 13 } + ( - 20 \frac { 7 } { 33 } )$$

Evaluate

$$-\frac{1939}{429}\approx -4.51981352$$

Solution Steps

Multiply 15 and 13 to get 195.

$$\frac{195+9}{13}-\frac{20\times 33+7}{33}$$

Add 195 and 9 to get 204.

$$\frac{204}{13}-\frac{20\times 33+7}{33}$$

Multiply 20 and 33 to get 660.

$$\frac{204}{13}-\frac{660+7}{33}$$

Add 660 and 7 to get 667.

$$\frac{204}{13}-\frac{667}{33}$$

Least common multiple of 13 and 33 is 429. Convert \frac{204}{13} and \frac{667}{33} to fractions with denominator 429.

$$\frac{6732}{429}-\frac{8671}{429}$$

Since \frac{6732}{429} and \frac{8671}{429} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6732-8671}{429}$$

Subtract 8671 from 6732 to get -1939.

$$-\frac{1939}{429}$$

Factor

$$-\frac{1939}{429} = -4\frac{223}{429} = -4.519813519813519$$