What is the decimal fraction of `14/5` ?

Options

A. 2.88
B. 2.7
C. 2.81
D. 2.8

Answer

To find the decimal fraction of \( \frac{14}{5} \), we can follow these steps:

### Step 1: Divide the numerator by the denominator
We need to divide 14 by 5.

\[ 14 \div 5 \]

### Step 2: Perform the division
When we divide 14 by 5, we can see how many times 5 fits into 14.

5 fits into 14 two times (since \( 5 \times 2 = 10 \)).

Now, we subtract 10 from 14:

\[ 14 - 10 = 4 \]

### Step 3: Add a decimal point and a zero
Since we have a remainder, we can add a decimal point to the quotient and a zero to the remainder, making it 40.

Now we divide again:

\[ 40 \div 5 \]

### Step 4: Continue the division
5 fits into 40 exactly eight times (since \( 5 \times 8 = 40 \)).

Subtract 40 from 40:

\[ 40 - 40 = 0 \]

### Step 5: Combine the results
Now, we can combine the whole number part and the decimal part. The result of the division is:

\[ 2.8 \]

Thus, the decimal fraction of \( \frac{14}{5} \) is \( 2.8 \).

### Final Answer
\[ \frac{14}{5} = 2.8 \]

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