A fraction equlvalent to `(3)/(5)` is

Options

A. `(3+2)/(5+2)`
B. `(3-2)/(5-2)`
C. `(3xx2)/(5xx2)`
D. all of these

Answer

To find a fraction equivalent to \( \frac{3}{5} \), we can follow these steps:

### Step 1: Understand Equivalent Fractions
An equivalent fraction is created by multiplying or dividing the numerator and the denominator of a given fraction by the same non-zero number.

### Step 2: Choose a Non-Zero Number
Let's choose a non-zero number to multiply both the numerator and the denominator of \( \frac{3}{5} \). For this example, we will use the number 2.

### Step 3: Multiply the Numerator and Denominator
Now, we will multiply both the numerator (3) and the denominator (5) by 2:
\[ \text{Numerator: } 3 \times 2 = 6 \]
\[ \text{Denominator: } 5 \times 2 = 10 \]

### Step 4: Write the Equivalent Fraction
Now, we can write the equivalent fraction:
\[ \frac{6}{10} \]

### Step 5: Verify the Equivalent Fraction
To verify that \( \frac{6}{10} \) is equivalent to \( \frac{3}{5} \), we can simplify \( \frac{6}{10} \):
\[ \frac{6 \div 2}{10 \div 2} = \frac{3}{5} \]
This confirms that \( \frac{6}{10} \) is indeed equivalent to \( \frac{3}{5} \).

### Conclusion
Thus, one fraction equivalent to \( \frac{3}{5} \) is \( \frac{6}{10} \).

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