Solve Mixed Number Division: 1 3/5 ÷ 1/2

To solve the problem of dividing the mixed number $1\frac{3}{5}$ by the fraction $\frac{1}{2}$, follow these steps:

• Step 1: Convert the mixed number to an improper fraction.
• Step 2: Take the reciprocal of the divisor fraction.
• Step 3: Multiply the improper fraction by the reciprocal.
• Step 4: Simplify the resulting fraction if necessary.

Now, let's execute each step:

Step 1: Convert $1\frac{3}{5}$ to an improper fraction. To do this, multiply the whole number 1 by the denominator 5 and add the numerator 3:

$1 \times 5 + 3 = 5 + 3 = 8$

This gives us $\frac{8}{5}$.

Step 2: Take the reciprocal of $\frac{1}{2}$, which is $\frac{2}{1}$.

Step 3: Multiply $\frac{8}{5}$ by $\frac{2}{1}$:

$\frac{8}{5} \times \frac{2}{1} = \frac{8 \times 2}{5 \times 1} = \frac{16}{5}$

Step 4: Simplify $\frac{16}{5}$ by converting it back to a mixed number:

Divide 16 by 5, which results in 3 with a remainder of 1, giving us $3\frac{1}{5}$.

Therefore, the result of $1\frac{3}{5} \div \frac{1}{2}$ is $3\frac{1}{5}$.