Find an equivalent fraction of `(3)/(4)` with:
a. denominator 20.

Answer

To find an equivalent fraction of \( \frac{3}{4} \) with a denominator of 20, we can follow these steps:

### Step 1: Set up the equation
We want to find a fraction \( \frac{x}{20} \) that is equivalent to \( \frac{3}{4} \). We can set up the equation:
\[ \frac{3}{4} = \frac{x}{20} \]

### Step 2: Cross-multiply
To solve for \( x \), we can use cross-multiplication:
\[ 3 \times 20 = 4 \times x \]
This simplifies to:
\[ 60 = 4x \]

### Step 3: Solve for \( x \)
Now, we need to isolate \( x \) by dividing both sides of the equation by 4:
\[ x = \frac{60}{4} \]
Calculating this gives:
\[ x = 15 \]

### Step 4: Write the equivalent fraction
Now that we have found \( x \), we can write the equivalent fraction:
\[ \frac{3}{4} = \frac{15}{20} \]

### Final Answer
Thus, an equivalent fraction of \( \frac{3}{4} \) with a denominator of 20 is:
\[ \frac{15}{20} \]

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