https://file.aiquickdraw.com/mathbot/file/1725832308497nmrbbfhn.jpg

Let's solve the differences in the given image step by step.

### Problem 1:
\[
\frac{7}{15} - \frac{1}{5}
\]
We need a common denominator. The least common denominator (LCD) of 15 and 5 is 15.

\[
\frac{1}{5} = \frac{3}{15}
\]

Now subtract:
\[
\frac{7}{15} - \frac{3}{15} = \frac{4}{15}
\]

### Problem 2:
\[
\frac{4}{5} - \frac{2}{4}
\]
We need a common denominator. The least common denominator of 5 and 4 is 20.

Convert both fractions:
\[
\frac{4}{5} = \frac{16}{20}, \quad \frac{2}{4} = \frac{10}{20}
\]

Now subtract:
\[
\frac{16}{20} - \frac{10}{20} = \frac{6}{20} = \frac{3}{10}
\]

### Problem 3:
\[
\frac{5}{8} - \frac{2}{7}
\]
The least common denominator of 8 and 7 is 56.

Convert both fractions:
\[
\frac{5}{8} = \frac{35}{56}, \quad \frac{2}{7} = \frac{16}{56}
\]

Now subtract:
\[
\frac{35}{56} - \frac{16}{56} = \frac{19}{56}
\]

### Problem 4:
\[
\frac{8}{9} - \frac{2}{6}
\]
We need a common denominator. The least common denominator of 9 and 6 is 18.

Convert both fractions:
\[
\frac{8}{9} = \frac{16}{18}, \quad \frac{2}{6} = \frac{6}{18}
\]

Now subtract:
\[
\frac{16}{18} - \frac{6}{18} = \frac{10}{18} = \frac{5}{9}
\]

### Problem 5:
\[
\frac{1}{4} - 2 \frac{3}{5}
\]
First, convert the mixed number \( 2 \frac{3}{5} \) into an improper fraction:
\[
2 \frac{3}{5} = \frac{13}{5}
\]

We need a common denominator. The least common denominator of 4 and 5 is 20.

Convert both fractions:
\[
\frac{1}{4} = \frac{5}{20}, \quad \frac{13}{5} = \frac{52}{20}
\]

Now subtract:
\[
\frac{5}{20} - \frac{52}{20} = \frac{-47}{20}
\]

This simplifies to \( -2 \frac{7}{20} \).

---

If you'd like further details or have questions, feel free to ask!

### Related Questions:
1. What is the general process for finding the least common denominator?
2. How do you convert a mixed number into an improper fraction?
3. Can you explain how to simplify fractions after subtracting?
4. What should you do if the result of a subtraction is negative?
5. How do you handle cases where the denominators are the same from the start?

### Tip:
Always check whether your fractions can be simplified after performing operations like subtraction or addition!

Find the difference in the given fractions:
1) 7/15 - 1/5
2) 4/5 - 2/4
3) 5/8 - 2/7
4) 8/9 - 2/6
5) 1/4 - 2 3/5

Solve step-by-step subtraction problems involving fractions with different denominators, including mixed numbers. Practice finding the least common denominator, converting mixed numbers, and simplifying results. Suitable for students in Grades 6-8.

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