(1) What is the sum? $$ \begin{aligned}-1 \frac{1}{8}+\left(-\frac{1}{2} ight) & =-1 \frac{1}{8}+\left(-\frac{4}{8} ight) \ & =?\end{aligned} $$

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(1) What is the sum? $$ \begin{aligned}-1 \frac{1}{8}+\left(-\frac{1}{2}ight) & =-1 \frac{1}{8}+\left(-\frac{4}{8}ight) \ & =?\end{aligned} $$

UpStudy AI · Accepted Answer

To find the sum of $$ -1 \frac{1}{8} + \left(-\frac{1}{2}\right) $$, follow these steps:

1. **Convert Mixed Number to Improper Fraction:**
   
   $$
   -1 \frac{1}{8} = -\left(1 + \frac{1}{8}\right) = -\frac{8}{8} - \frac{1}{8} = -\frac{9}{8}
   $$

2. **Express Both Fractions with a Common Denominator:**
   
   The denominators are already 8 and 2. To have a common denominator of 8:
   
   $$
   -\frac{1}{2} = -\frac{4}{8}
   $$

3. **Add the Fractions:**
   
   $$
   -\frac{9}{8} + \left(-\frac{4}{8}\right) = -\frac{9 + 4}{8} = -\frac{13}{8}
   $$

4. **Convert the Improper Fraction Back to a Mixed Number:**
   
   $$
   -\frac{13}{8} = -1 \frac{5}{8}
   $$

**Final Answer:**

$$
-1 \frac{5}{8}
$$
The sum is $$ -1 \frac{5}{8} $$.

(1) What is the sum?

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