Find the equivalent fraction of `15/(90)` with denominator 18.

Answer

To find the equivalent fraction of \( \frac{15}{90} \) with a denominator of 18, we can follow these steps:

### Step 1: Simplify the original fraction
First, we simplify the fraction \( \frac{15}{90} \).
- To simplify, we find the greatest common divisor (GCD) of 15 and 90. The GCD is 15.
- Now, divide both the numerator and the denominator by their GCD:

\[ \frac{15 \div 15}{90 \div 15} = \frac{1}{6} \]

### Step 2: Find the equivalent fraction with denominator 18
Now, we need to find an equivalent fraction of \( \frac{1}{6} \) that has a denominator of 18.
- To do this, we can multiply both the numerator and the denominator of \( \frac{1}{6} \) by the same number. We want the denominator to be 18, so we find out what we need to multiply 6 by to get 18:

\[ 6 \times 3 = 18 \]

- Now, we multiply both the numerator and the denominator of \( \frac{1}{6} \) by 3:

\[ \frac{1 \times 3}{6 \times 3} = \frac{3}{18} \]

### Step 3: Conclusion
Thus, the equivalent fraction of \( \frac{15}{90} \) with a denominator of 18 is:

\[ \frac{3}{18} \]

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