Write five equivalent fractions of `3/5.`

Options

A. `8/10`
B. `4/10`
C. `3/8`
D. `6/10`

Explanation

To find five equivalent fractions of \( \frac{3}{5} \), we can follow these steps:

### Step 1: Understand the concept of equivalent fractions
Equivalent fractions are fractions that represent the same value or proportion, even though they may look different. To create equivalent fractions, we can multiply the numerator and the denominator by the same non-zero integer.

### Step 2: Multiply by 2
- Start with the fraction \( \frac{3}{5} \).
- Multiply both the numerator (3) and the denominator (5) by 2:
\[ \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \]

### Step 3: Multiply by 3
- Now, multiply both the numerator and the denominator by 3:
\[ \frac{3 \times 3}{5 \times 3} = \frac{9}{15} \]

### Step 4: Multiply by 4
- Next, multiply both the numerator and the denominator by 4:
\[ \frac{3 \times 4}{5 \times 4} = \frac{12}{20} \]

### Step 5: Multiply by 5
- Then, multiply both the numerator and the denominator by 5:
\[ \frac{3 \times 5}{5 \times 5} = \frac{15}{25} \]

### Step 6: Multiply by 6
- Finally, multiply both the numerator and the denominator by 6:
\[ \frac{3 \times 6}{5 \times 6} = \frac{18}{30} \]

### Final Result
The five equivalent fractions of \( \frac{3}{5} \) are:
1. \( \frac{6}{10} \)
2. \( \frac{9}{15} \)
3. \( \frac{12}{20} \)
4. \( \frac{15}{25} \)
5. \( \frac{18}{30} \)