Subtract the following fractions, and give your answer as a reduced improper fraction, if necessary.
3
13
−
1
8


To subtract the fractions \( \frac{3}{13} \) and \( \frac{1}{8} \), we first need to find a common denominator.

### Step 1: Find the Least Common Denominator (LCD)
The denominators are 13 and 8. The least common denominator (LCD) of 13 and 8 is \( 13 \times 8 = 104 \).

### Step 2: Convert Both Fractions to Have the Same Denominator
Now, we convert each fraction to have a denominator of 104.

\[
\frac{3}{13} = \frac{3 \times 8}{13 \times 8} = \frac{24}{104}
\]
\[
\frac{1}{8} = \frac{1 \times 13}{8 \times 13} = \frac{13}{104}
\]

### Step 3: Subtract the Numerators
Now, subtract the numerators:

\[
\frac{24}{104} - \frac{13}{104} = \frac{24 - 13}{104} = \frac{11}{104}
\]

### Step 4: Simplify the Fraction
The fraction \( \frac{11}{104} \) is already in its simplest form because 11 and 104 have no common factors other than 1.

Thus, the answer is \( \frac{11}{104} \).

Would you like more details or further clarification?

Here are some related questions:
1. How do you find the least common denominator of two fractions?
2. What are the steps to convert fractions to have the same denominator?
3. How do you know when a fraction is in its simplest form?
4. Can improper fractions be simplified further?
5. How would you subtract mixed fractions?

**Tip:** When subtracting fractions, always remember to simplify the final result if possible.

Subtract the following fractions, and give your answer as a reduced improper fraction, if necessary: 3/13 - 1/8

Learn how to subtract the fractions 3/13 and 1/8 by finding the least common denominator (LCD) and simplifying the result. This detailed step-by-step guide covers essential concepts like fraction subtraction and LCD calculation, suitable for students in Grades 6-8.

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