Find the equivalent fraction of `(3)/(5)` having denominator 30.

Answer

To find the equivalent fraction of \( \frac{3}{5} \) with a denominator of 30, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the original fraction**: We start with the fraction \( \frac{3}{5} \).

2. **Determine the new denominator**: We want to find an equivalent fraction that has a denominator of 30.

3. **Find the multiplier for the denominator**: We need to determine what we can multiply the original denominator (5) by to get to the new denominator (30).
\[ 5 \times \text{?} = 30 \]
To find the multiplier, we can divide 30 by 5:
\[ \text{Multiplier} = \frac{30}{5} = 6 \]

4. **Multiply both the numerator and denominator by the same number**: To keep the fraction equivalent, we multiply both the numerator (3) and the denominator (5) by the multiplier (6):
\[ \text{New numerator} = 3 \times 6 = 18 \]
\[ \text{New denominator} = 5 \times 6 = 30 \]

5. **Write the equivalent fraction**: Now we can write the equivalent fraction:
\[ \frac{3}{5} = \frac{18}{30} \]

### Final Answer:
The equivalent fraction of \( \frac{3}{5} \) with a denominator of 30 is \( \frac{18}{30} \).

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