4.669 / 2.3 = ?

Options

A. 2.3
B. 2.03
C. 2.003
D. none of these

Answer

To solve the division of 4.669 by 2.3 step by step, follow these instructions:

### Step 1: Remove Decimals
To make the division easier, we first eliminate the decimals. We can do this by multiplying both the numerator (4.669) and the denominator (2.3) by 10 to shift the decimal point one place to the right.

\[ 4.669 \times 10 = 46.69 \]
\[ 2.3 \times 10 = 23 \]

So, the problem now becomes:

\[ \frac{46.69}{23} \]

### Step 2: Perform the Division
Now we will divide 46.69 by 23.

First, we can see how many times 23 fits into 46:

\[ 23 \times 2 = 46 \]

Subtracting this from 46 gives us:

\[ 46 - 46 = 0 \]

Now, we bring down the next digit (which is 6 from 46.69), making it 06.

Next, we see how many times 23 fits into 6:

Since 23 is larger than 6, it fits 0 times. We write 0 in the quotient.

Now, we bring down the next digit (which is 9), making it 69.

Now we divide 69 by 23:

\[ 23 \times 3 = 69 \]

Subtracting gives us:

\[ 69 - 69 = 0 \]

So, the division gives us:

\[ 2.03 \]

### Step 3: Place the Decimal Point
Now, we need to place the decimal point in our answer. Since we initially moved the decimal point one place to the right in the denominator (from 2.3 to 23), we need to move the decimal point in our answer one place to the left.

Thus, our final answer is:

\[ 2.03 \]

### Final Answer
\[ \frac{4.669}{2.3} = 2.03 \]

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