Convert the following fractions into decimals.
`( 77)/( 25)`

Answer

To convert the fraction \( \frac{77}{25} \) into a decimal, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Fraction**: We start with the fraction \( \frac{77}{25} \).

2. **Convert the Denominator**: We want to convert the denominator (25) into a power of 10. The closest power of 10 to 25 is 100. To convert 25 into 100, we multiply it by 4.

\[ 25 \times 4 = 100 \]

3. **Multiply the Numerator**: Since we multiplied the denominator by 4, we must also multiply the numerator by the same number to keep the fraction equivalent.

\[ 77 \times 4 = 308 \]

4. **Rewrite the Fraction**: Now we can rewrite the fraction as:

\[ \frac{308}{100} \]

5. **Convert to Decimal**: Now, we can convert \( \frac{308}{100} \) into a decimal. Dividing 308 by 100 gives us:

\[ 308 \div 100 = 3.08 \]

### Final Answer:
The decimal equivalent of \( \frac{77}{25} \) is **3.08**.

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