Subjects algebra

Sum Fraction

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

Use the AI math solver

1. The problem asks to express the sum \(\frac{y+7}{1} + \frac{y+5}{1}\) as a single fraction in simplest form. 2. Since both fractions have denominator 1, we can add the numerators directly: $$\frac{y+7}{1} + \frac{y+5}{1} = \frac{(y+7) + (y+5)}{1}$$ 3. Simplify the numerator by combining like terms: $$y + 7 + y + 5 = 2y + 12$$ 4. So the single fraction is: $$\frac{2y + 12}{1} = 2y + 12$$ 5. To write it as a fraction in simplest form, factor out the common factor 2: $$2y + 12 = 2(y + 6)$$ 6. Therefore, the expression as a single fraction is: $$\frac{2(y + 6)}{1}$$ which is equivalent to \(2(y+6)\).