Solve Fraction Division: 2/3 ÷ 3/8 Step-by-Step

To solve the division of fractions $\frac{2}{3}$ by $\frac{3}{8}$, we follow these steps:

• Step 1: Identify the reciprocal of the second fraction $\frac{3}{8}$. The reciprocal is $\frac{8}{3}$.

• Step 2: Multiply the first fraction $\frac{2}{3}$ by the reciprocal $\frac{8}{3}$:

$\frac{2}{3} \times \frac{8}{3}$

• Step 3: Multiply the numerators together and the denominators together:

$\frac{2 \times 8}{3 \times 3} = \frac{16}{9}$

• Step 4: Simplify the resulting fraction, if possible. In this case, $\frac{16}{9}$ is already in its simplest form.

• Step 5: Convert the improper fraction $\frac{16}{9}$ to a mixed number:

$16 \div 9 = 1$ remainder $7$, so the mixed number is $1\frac{7}{9}$.

Therefore, the solution to the problem is ${1\frac{7}{9}}$.