Write three equivalent fractions of `7/(9)`, one of which had denominator 99.

Answer

To find three equivalent fractions of \( \frac{7}{9} \), one of which has a denominator of 99, we can follow these steps:

### Step 1: Understand Equivalent Fractions
Equivalent fractions are fractions that represent the same value or proportion, even though they may have different numerators and denominators. To create equivalent fractions, we can multiply the numerator and the denominator by the same number.

### Step 2: Find the Equivalent Fraction with Denominator 99
To find an equivalent fraction of \( \frac{7}{9} \) that has a denominator of 99, we need to determine what we can multiply 9 by to get 99.

\[ 99 \div 9 = 11 \]

Now, we multiply both the numerator and the denominator of \( \frac{7}{9} \) by 11:

\[ \frac{7 \times 11}{9 \times 11} = \frac{77}{99} \]

### Step 3: Find Two More Equivalent Fractions
Next, we can find two more equivalent fractions by choosing different multipliers.

1. **First Equivalent Fraction**: Let's multiply both the numerator and the denominator by 3:

\[ \frac{7 \times 3}{9 \times 3} = \frac{21}{27} \]

2. **Second Equivalent Fraction**: Now, let's multiply both the numerator and the denominator by 4:

\[ \frac{7 \times 4}{9 \times 4} = \frac{28}{36} \]

### Final Answer
Thus, the three equivalent fractions of \( \frac{7}{9} \) are:
1. \( \frac{21}{27} \)
2. \( \frac{28}{36} \)
3. \( \frac{77}{99} \)