Solve -214/15-119/45=

$$- 2 \frac { 14 } { 15 } - 1 \frac { 19 } { 45 } =$$

Evaluate

$$-\frac{196}{45}\approx -4.355555556$$

Solution Steps

Multiply 2 and 15 to get 30.

$$-\frac{30+14}{15}-\frac{1\times 45+19}{45}$$

Add 30 and 14 to get 44.

$$-\frac{44}{15}-\frac{1\times 45+19}{45}$$

Multiply 1 and 45 to get 45.

$$-\frac{44}{15}-\frac{45+19}{45}$$

Add 45 and 19 to get 64.

$$-\frac{44}{15}-\frac{64}{45}$$

Least common multiple of 15 and 45 is 45. Convert -\frac{44}{15} and \frac{64}{45} to fractions with denominator 45.

$$-\frac{132}{45}-\frac{64}{45}$$

Since -\frac{132}{45} and \frac{64}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-132-64}{45}$$

Subtract 64 from -132 to get -196.

$$-\frac{196}{45}$$

Factor

$$-\frac{196}{45} = -4\frac{16}{45} = -4.355555555555555$$