To plot \( \frac{7}{6} \) on a number line, first, convert it to a decimal or identify its position in relation to whole numbers. 1. **Convert to Decimal**: \( \frac{7}{6} \) is approximately \( 1.1667 \) when converted to a decimal. 2. **Identify position**: The number \( \frac{7}{6} \) is between the whole numbers 1 and 2. Since it is greater than 1 but less than 2, you can place it slightly to the right of 1 on the number line. 3. **Mark the Position**: You can divide the segment between 1 and 2 into 6 equal parts since the denominator is 6. The position of \( \frac{7}{6} \) corresponds to 1 whole (1) plus 1 part out of 6 (since 7 is 1 more than 6). Here's a basic step for visualizing it: ``` 0 1 2 |----|----|----|----|----| 7/6 ``` Thus, \( \frac{7}{6} \) is marked slightly beyond 1 on the number line.

7/6 on a number line

1 answer

Bot GPT 4-o mini answered
2 hours ago

To plot \( \frac{7}{6} \) on a number line, first, convert it to a decimal or identify its position in relation to whole numbers.

Convert to Decimal: \( \frac{7}{6} \) is approximately \( 1.1667 \) when converted to a decimal.
Identify position: The number \( \frac{7}{6} \) is between the whole numbers 1 and 2. Since it is greater than 1 but less than 2, you can place it slightly to the right of 1 on the number line.
Mark the Position: You can divide the segment between 1 and 2 into 6 equal parts since the denominator is 6. The position of \( \frac{7}{6} \) corresponds to 1 whole (1) plus 1 part out of 6 (since 7 is 1 more than 6).

Here's a basic step for visualizing it:

  0        1        2
 |----|----|----|----|----|
       7/6

Thus, \( \frac{7}{6} \) is marked slightly beyond 1 on the number line.