Write the three equivalent fractions for each:
`21/(84)`

Answer

To find three equivalent fractions for \( \frac{21}{84} \), we will simplify the fraction and then find equivalent fractions by multiplying or dividing by the same number.

### Step-by-Step Solution:

1. **Start with the given fraction:**
\[ \frac{21}{84} \]

2. **Simplify the fraction by finding the greatest common divisor (GCD):**
- The GCD of 21 and 84 is 21.
- Divide both the numerator and the denominator by their GCD:
\[ \frac{21 \div 21}{84 \div 21} = \frac{1}{4} \]

3. **Find equivalent fractions by multiplying both the numerator and the denominator by different numbers:**
- **First Equivalent Fraction:**
- Multiply by 2:
\[ \frac{1 \times 2}{4 \times 2} = \frac{2}{8} \]

- **Second Equivalent Fraction:**
- Multiply by 3:
\[ \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \]

- **Third Equivalent Fraction:**
- Multiply by 7:
\[ \frac{1 \times 7}{4 \times 7} = \frac{7}{28} \]

4. **Final Result:**
The three equivalent fractions for \( \frac{21}{84} \) are:
\[ \frac{1}{4}, \frac{2}{8}, \frac{3}{12}, \frac{7}{28} \]