Compute the Division: What is 1.3 Divided by 0.2?

To solve this problem, we'll follow these steps:

• Step 1: Convert each decimal to a fraction.
• Step 2: Divide by converting to multiplication using reciprocals.
• Step 3: Simplify the resulting fraction to find the solution.

Now, let's proceed with the calculations:

Step 1: Convert $1.3$ and $0.2$ to fractions:

• $1.3 = \frac{13}{10}$
• $0.2 = \frac{2}{10}$

Step 2: Perform division by multiplying by the reciprocal:

$\frac{13}{10} \div \frac{2}{10} = \frac{13}{10} \times \frac{10}{2}$

Step 3: Simplify the fractions:

• Cancel the common factor of 10: $\frac{13 \times 10}{10 \times 2} = \frac{13}{2}$
• Calculate the division: $\frac{13}{2} = 6.5$

Therefore, the solution to the problem is $6.5$.