Subjects algebra

Fraction Addition 19C9Db

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1. **State the problem:** Simplify the expression where $25 + x$ is the numerator of the second fraction. 2. **Identify the expression:** Suppose the expression is \( \frac{a}{b} + \frac{25 + x}{d} \). 3. **Find a common denominator:** To add fractions, the denominators must be the same. The common denominator is $bd$. 4. **Rewrite each fraction with the common denominator:** $$\frac{a}{b} = \frac{a \times d}{b \times d} = \frac{ad}{bd}$$ $$\frac{25 + x}{d} = \frac{(25 + x) \times b}{d \times b} = \frac{b(25 + x)}{bd}$$ 5. **Add the numerators:** $$\frac{ad}{bd} + \frac{b(25 + x)}{bd} = \frac{ad + b(25 + x)}{bd}$$ 6. **Simplify the numerator if possible:** $$ad + b(25 + x) = ad + 25b + bx$$ 7. **Final simplified expression:** $$\frac{ad + 25b + bx}{bd}$$ This is the sum of the two fractions with $25 + x$ on top of the second fraction. **Note:** Without specific values for $a$, $b$, $d$, this is the general simplified form.