$$ \frac { 3 } { 18 } + 0 , \dot { 7 } $$

Question

UpStudy AI · Accepted Answer

To evaluate the expression:

$$
\frac{3}{18} + 0.\overline{7}
$$

Let's break it down step by step.

1. **Simplify the Fraction:**
   $$
   \frac{3}{18} = \frac{1}{6}
   $$

2. **Convert the Repeating Decimal to a Fraction:**
   $$
   0.\overline{7} = \frac{7}{9}
   $$

3. **Add the Two Fractions:**
   $$
   \frac{1}{6} + \frac{7}{9}
   $$
   
   To add these fractions, find a common denominator. The least common multiple of 6 and 9 is 18.

$$
   \frac{1}{6} = \frac{3}{18} \quad \text{and} \quad \frac{7}{9} = \frac{14}{18}
   $$
   
   Now, add them:
   
   $$
   \frac{3}{18} + \frac{14}{18} = \frac{17}{18}
   $$

4. **Final Answer:**
   $$
   \frac{17}{18} \approx 0.9444\ldots
   $$

So,

$$
\frac{3}{18} + 0.\overline{7} = \frac{17}{18} \approx 0.9444\ldots
$$
$$ \frac{3}{18} + 0.\overline{7} = \frac{17}{18} \approx 0.9444 $$

\( \frac { 3 } { 18 } + 0 , \dot { 7 } \)

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