Subjects algebra

Fraction Simplification 5Bb5B2

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Calculate the value of the fraction with numerator $-30 - (-16)$ and denominator $12 - 5$. 2. **Write the expression:** $$\frac{-30 - (-16)}{12 - 5}$$ 3. **Simplify the numerator:** $$-30 - (-16) = -30 + 16 = -14$$ 4. **Simplify the denominator:** $$12 - 5 = 7$$ 5. **Rewrite the fraction with simplified numerator and denominator:** $$\frac{-14}{7}$$ 6. **Simplify the fraction by dividing numerator and denominator by 7:** $$\frac{\cancel{-14}^{\div 7}}{\cancel{7}^{\div 7}} = \frac{-2}{1} = -2$$ 7. **Final answer:** $$-2$$