1. **State the problem:**
We need to evaluate the expression where the first two rational numbers are added instead of multiplied. Suppose the original expression was $\frac{a}{b} \times \frac{c}{d} \times \frac{e}{f}$, now it becomes $\frac{a}{b} + \frac{c}{d} \times \frac{e}{f}$.
2. **Recall the order of operations:**
Multiplication is performed before addition unless parentheses indicate otherwise.
3. **Write the expression:**
$$\frac{a}{b} + \frac{c}{d} \times \frac{e}{f}$$
4. **Calculate the multiplication first:**
$$\frac{c}{d} \times \frac{e}{f} = \frac{c \times e}{d \times f}$$
5. **Rewrite the expression:**
$$\frac{a}{b} + \frac{c e}{d f}$$
6. **Find a common denominator:**
The common denominator is $b d f$.
7. **Rewrite each fraction with the common denominator:**
$$\frac{a}{b} = \frac{a d f}{b d f}$$
$$\frac{c e}{d f} = \frac{c e b}{b d f}$$
8. **Add the numerators:**
$$\frac{a d f + c e b}{b d f}$$
9. **Simplify if possible.**
**Final answer:**
$$\frac{a d f + c e b}{b d f}$$
This is the sum of the first rational number and the product of the second and third rational numbers.
Note: Since the user did not provide specific numbers, the answer is given in terms of variables $a,b,c,d,e,f$ representing the numerators and denominators of the three rational numbers.
Rational Addition 13E102
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