Half of a third in fractions can be calculated by dividing 1 by 3 and then dividing the result by 2. Let’s break down the steps to find the answer:
Step 1: Divide 1 by 3
To find a third of something, you divide it by 3. In this case, we want to find a third of 1, so we divide 1 by 3. The result is 1/3.
Step 2: Divide the result by 2
Now, to find half of 1/3, we need to divide 1/3 by 2. Dividing a fraction by a whole number is the same as multiplying the fraction by the reciprocal of the whole number. So, we can rewrite the division as (1/3) x (1/2).
Step 3: Multiply the fractions
To multiply fractions, we multiply the numerators together and the denominators together. In this case, multiplying 1/3 by 1/2 gives us [(1 x 1) / (3 x 2)].
Step 4: Simplify the fraction
The numerator, 1 x 1, equals 1, and the denominator, 3 x 2, equals 6. So, the fraction becomes 1/6.
Therefore, half of a third in fractions is 1/6.
Let me provide you with a real-life example to illustrate the concept. Imagine you have a pizza and you want to share it equally among your friends. Each person will get a third of the pizza. Now, if you want to know how much each person would get if you divide that third in half, you would find that they would receive 1/6 of the whole pizza. So, if you had 6 friends, each would get 1/6 of the pizza.
In summary, to find half of a third in fractions, you divide 1 by 3 and then divide the result by 2. This gives you the fraction 1/6.