Divide 1 2 By 6 Easy Stepbystep Solution

Step-by-Step Solution to Divide 1 2 By 6

To solve this problem, we will break it down into simple steps.

Step 1: Convert the Mixed Number to an Improper Fraction

First, we need to convert the mixed number 1 2 to an improper fraction. The formula to convert a mixed number to an improper fraction is (whole number * denominator) + numerator, then put the result over the denominator. So, for 1 2, it becomes (1*2) + 2 = 4, then ⁴⁄₂.

Step 2: Simplify the Improper Fraction

The improper fraction ⁴⁄₂ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, ⁴⁄₂ simplifies to ²⁄₁ or just 2.

Step 3: Divide the Simplified Fraction by 6

Now, we divide 2 by 6. To divide by a number is the same as multiplying by its reciprocal. So, dividing by 6 is the same as multiplying by ¹⁄₆.

Step 4: Perform the Multiplication

We then multiply 2 by ¹⁄₆. Multiplying a number by a fraction is done by multiplying the number by the numerator and then dividing by the denominator. So, 2 * ¹⁄₆ = (2*1)/6 = ²⁄₆.

Step 5: Simplify the Result

The fraction ²⁄₆ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, ²⁄₆ simplifies to ¹⁄₃.

The final answer is: \boxed{\frac{1}{3}}