Solve -9/18+(-24/45)

$$- \frac { 9 } { 18 } + ( - 2 \frac { 4 } { 45 } )$$

Evaluate

$$-\frac{233}{90}\approx -2.588888889$$

Solution Steps

Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.

$$-\frac{1}{2}-\frac{2\times 45+4}{45}$$

Multiply 2 and 45 to get 90.

$$-\frac{1}{2}-\frac{90+4}{45}$$

Add 90 and 4 to get 94.

$$-\frac{1}{2}-\frac{94}{45}$$

Least common multiple of 2 and 45 is 90. Convert -\frac{1}{2} and \frac{94}{45} to fractions with denominator 90.

$$-\frac{45}{90}-\frac{188}{90}$$

Since -\frac{45}{90} and \frac{188}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-45-188}{90}$$

Subtract 188 from -45 to get -233.

$$-\frac{233}{90}$$

Factor

$$-\frac{233}{90} = -2\frac{53}{90} = -2.588888888888889$$