To subtract the two fractions \(\frac{27}{20} - \frac{19}{26}\), we need to first find a common denominator.

### Step 1: Find the least common denominator (LCD)
The denominators are 20 and 26. The least common denominator of 20 and 26 is 260.

### Step 2: Convert the fractions
Now, we convert each fraction to have 260 as the denominator.

For \(\frac{27}{20}\):
\[
\frac{27}{20} = \frac{27 \times 13}{20 \times 13} = \frac{351}{260}
\]

For \(\frac{19}{26}\):
\[
\frac{19}{26} = \frac{19 \times 10}{26 \times 10} = \frac{190}{260}
\]

### Step 3: Subtract the fractions
Now subtract the numerators:
\[
\frac{351}{260} - \frac{190}{260} = \frac{351 - 190}{260} = \frac{161}{260}
\]

### Step 4: Simplify the result
The greatest common divisor (GCD) of 161 and 260 is 1, so \(\frac{161}{260}\) is already in its simplest form.

Thus, the result of \(\frac{27}{20} - \frac{19}{26}\) is:
\[
\frac{161}{260}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you add fractions with different denominators?
2. What is the process of simplifying a fraction?
3. How do you convert improper fractions to mixed numbers?
4. What are common mistakes to avoid when subtracting fractions?
5. How do you find the least common denominator for any set of fractions?

**Tip:** When subtracting fractions, always ensure that both fractions have the same denominator before performing the operation.

Learn how to subtract two fractions, 27/20 and 19/26, by finding the least common denominator (LCD), converting fractions, and simplifying the result. This problem demonstrates subtraction of fractions with different denominators and is suitable for Grades 6-8.

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