Solve the Fraction Division: 12/16 ÷ 3 Step-by-Step

To solve the problem $\frac{12}{16} : 3$, we will follow these steps:

• Step 1: Restate the division as a multiplication by using the reciprocal of the divisor. The reciprocal of 3 is $\frac{1}{3}$.
• Step 2: Multiply the fraction by the reciprocal of the divisor: $\frac{12}{16} \times \frac{1}{3}$.
• Step 3: Multiply the numerators: $12 \times 1 = 12$.
• Step 4: Multiply the denominators: $16 \times 3 = 48$.
• Step 5: Simplify the resulting fraction $\frac{12}{48}$.
• Step 6: Both the numerator and the denominator can be divided by 12, which is the greatest common divisor: $\frac{12 \div 12}{48 \div 12} = \frac{1}{4}$.

Therefore, the solution to the problem is $\frac{1}{4}$.