Convert `(27)/(16)` into decimal form.

Answer

To convert the fraction \( \frac{27}{16} \) into decimal form, we can follow these steps:

### Step 1: Understand the Fraction
We have the fraction \( \frac{27}{16} \). The numerator is 27 and the denominator is 16.

### Step 2: Perform Long Division
To convert the fraction to decimal, we can perform long division of 27 by 16.

1. **Divide 27 by 16**:
- 16 goes into 27 once (1).
- Multiply 1 by 16 to get 16.
- Subtract 16 from 27 to get 11.

2. **Bring down a zero**:
- Since we are looking for a decimal, we can add a decimal point and a zero, making it 110.

3. **Divide 110 by 16**:
- 16 goes into 110 six times (6).
- Multiply 6 by 16 to get 96.
- Subtract 96 from 110 to get 14.

4. **Bring down another zero**:
- This makes it 140.

5. **Divide 140 by 16**:
- 16 goes into 140 eight times (8).
- Multiply 8 by 16 to get 128.
- Subtract 128 from 140 to get 12.

6. **Bring down another zero**:
- This makes it 120.

7. **Divide 120 by 16**:
- 16 goes into 120 seven times (7).
- Multiply 7 by 16 to get 112.
- Subtract 112 from 120 to get 8.

8. **Bring down another zero**:
- This makes it 80.

9. **Divide 80 by 16**:
- 16 goes into 80 five times (5).
- Multiply 5 by 16 to get 80.
- Subtract 80 from 80 to get 0.

### Step 3: Compile the Result
Putting all the parts together, we have:
- The whole number part is 1.
- The decimal part is 6875 (from the long division).

Thus, \( \frac{27}{16} = 1.6875 \).

### Final Answer
The decimal form of \( \frac{27}{16} \) is \( 1.6875 \).

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