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

Complete the following exercise:

$\frac{12}{16}:3=\text{?}$

Video Solution

Solution Steps

00:00 Solve

00:05 Let's write the number as a fraction

00:09 Any number divided by 1 is always equal to itself

00:13 Make sure to divide numerator by numerator and denominator by denominator

00:17 Let's calculate the quotients

00:21 We want to reduce the fraction as much as possible

00:24 Make sure to divide both numerator and denominator

00:33 And this is the solution to the question

Step-by-Step Solution

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 $\frac{1}{4}$ .