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To solve this problem, follow these steps:
Let's solve this step-by-step:
Step 1: The given expression is .
Step 2: Rewrite the division as a multiplication using the reciprocal: .
Step 3: Perform the multiplication: .
Step 4: Simplify  by dividing the numerator and the denominator by their greatest common divisor, which is 3:
.
Therefore, the solution to the problem is .
\( \frac{1}{2}:3= \)\( \)\( \)\( \)
Division and multiplication are opposite operations. When you divide by a number, it's the same as multiplying by its reciprocal (flip the fraction). So dividing by 3 equals multiplying by .
The reciprocal of any whole number is 1 over that number. So the reciprocal of 3 is , the reciprocal of 5 is , and so on.
Always check if you can simplify! Look for the greatest common divisor (GCD) of the numerator and denominator. In , both 3 and 12 can be divided by 3.
Yes! This reciprocal method works for any fraction divided by any whole number. Just remember: division by a number = multiplication by its reciprocal.
That's fine! Some problems naturally give improper fractions as answers. You can leave it as an improper fraction or convert it to a mixed number, depending on what the problem asks for.
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