Round each fraction to $$ 0, \frac{1}{2} $$, or 1 . Use a number line if needed. $$ \begin{array}{ll} ext { 1. } \frac{5}{9} \approx & ext { 2. } \frac{1}{14} \approx \ ext { 3. } \frac{12}{13} \approx\end{array} $$

Question

Round each fraction to $$ 0, \frac{1}{2} $$, or 1 . Use a number line if needed. $$ \begin{array}{ll}	ext { 1. } \frac{5}{9} \approx & 	ext { 2. } \frac{1}{14} \approx \ 	ext { 3. } \frac{12}{13} \approx\end{array} $$

UpStudy AI · Accepted Answer

Certainly! Let's round each fraction to the nearest of $$ 0 $$, $$ \frac{1}{2} $$, or $$ 1 $$. We'll evaluate each fraction's decimal equivalent to determine the closest value.

### 1. $$ \frac{5}{9} \approx $$

- **Decimal Equivalent:** $$ \frac{5}{9} \approx 0.555 $$
- **Possible Rounds:**
  - $$ 0 $$ (Difference: $$ 0.555 - 0 = 0.555 $$)
  - $$ \frac{1}{2} = 0.5 $$ (Difference: $$ 0.555 - 0.5 = 0.055 $$)
  - $$ 1 $$ (Difference: $$ 1 - 0.555 = 0.445 $$)
- **Closest Value:** $$ \frac{1}{2} $$

**Rounded Value:** $$ \frac{5}{9} \approx \frac{1}{2} $$

### 2. $$ \frac{1}{14} \approx $$

- **Decimal Equivalent:** $$ \frac{1}{14} \approx 0.071 $$
- **Possible Rounds:**
  - $$ 0 $$ (Difference: $$ 0.071 - 0 = 0.071 $$)
  - $$ \frac{1}{2} = 0.5 $$ (Difference: $$ 0.5 - 0.071 = 0.429 $$)
  - $$ 1 $$ (Difference: $$ 1 - 0.071 = 0.929 $$)
- **Closest Value:** $$ 0 $$

**Rounded Value:** $$ \frac{1}{14} \approx 0 $$

### 3. $$ \frac{12}{13} \approx $$

- **Decimal Equivalent:** $$ \frac{12}{13} \approx 0.923 $$
- **Possible Rounds:**
  - $$ 0 $$ (Difference: $$ 0.923 - 0 = 0.923 $$)
  - $$ \frac{1}{2} = 0.5 $$ (Difference: $$ 0.923 - 0.5 = 0.423 $$)
  - $$ 1 $$ (Difference: $$ 1 - 0.923 = 0.077 $$)
- **Closest Value:** $$ 1 $$

**Rounded Value:** $$ \frac{12}{13} \approx 1 $$

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### Summary

$$
\begin{array}{ll}
\text{1. } \frac{5}{9} \approx & \frac{1}{2} \
\text{2. } \frac{1}{14} \approx & 0 \
\text{3. } \frac{12}{13} \approx & 1 \
\end{array}
$$

These rounded values are determined by comparing the decimal equivalents of each fraction to $$ 0 $$, $$ \frac{1}{2} $$, and $$ 1 $$ and selecting the closest option.
$$ \begin{array}{ll} \text{1. } \frac{5}{9} \approx & \frac{1}{2} \ \text{2. } \frac{1}{14} \approx & 0 \ \text{3. } \frac{12}{13} \approx & 1 \ \end{array} $$

Round each fraction to \( 0, \frac{1}{2} \), or 1 . Use a number line if needed. \( \begin{array}{ll}\text { 1. } \frac{5}{9} \approx & \text { 2. } \frac{1}{14} \approx \\ \text { 3. } \frac{12}{13} \approx\end{array} \)

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