What is the difference between 5 1/4 and -1/6 on a number line

To find the difference between \( 5 \frac{1}{4} \) and \( -\frac{1}{6} \) on a number line, we subtract \( -\frac{1}{6} \) from \( 5 \frac{1}{4} \). This is equivalent to adding the two numbers together, because subtracting a negative number is the same as adding the positive version of that number.

First, convert the mixed number \( 5 \frac{1}{4} \) to an improper fraction:

\[
5 \frac{1}{4} = \frac{21}{4}
\]

Now, we can calculate the difference as follows:

\[
\text{Difference} = 5 \frac{1}{4} - (-\frac{1}{6}) = \frac{21}{4} + \frac{1}{6}
\]

To add these fractions, we need a common denominator. The least common denominator (LCD) of 4 and 6 is 12.

\[
\frac{21}{4} = \frac{63}{12}, \quad \frac{1}{6} = \frac{2}{12}
\]

Now, add the fractions:

\[
\frac{63}{12} + \frac{2}{12} = \frac{65}{12}
\]

So, the difference between \( 5 \frac{1}{4} \) and \( -\frac{1}{6} \) is:

\[
\frac{65}{12}, \text{ or approximately } 5.42
\]

Thus, on the number line, the distance between these two points is \( \frac{65}{12} \), or about 5.42 units.

Would you like more details or have any questions about this?

Here are 5 related questions:
1. How do you convert a mixed number to an improper fraction?
2. What is the least common denominator and how is it used?
3. How do you find the distance between two negative numbers on a number line?
4. How does subtracting a negative number change the operation to addition?
5. What is the significance of improper fractions when solving real-world problems?

**Tip:** Always check if fractions need to be simplified after adding or subtracting to ensure the final answer is in its simplest form.

Understand how to find the difference between 5 1/4 and -1/6 on a number line step-by-step. Learn about converting mixed numbers to improper fractions and adding fractions with unlike denominators. Suitable for students in Grades 5-7.

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