Two Thirds Of Onehalf: Result And Step-by-Step Calculation

Two thirds of one half equals one third.

Understanding the Fractions

A fraction shows how many parts of a whole we have. The top number, the numerator, counts the parts we take; the bottom number, the denominator, tells how many equal parts the whole is split into. In one half, the denominator is 2, meaning the whole is divided into two equal pieces, and we take one of them. In two thirds, the denominator is 3, so the whole is split into three pieces and we take two of them. When we see the word “of” between fractions, it signals multiplication.

Step-by‑Step Calculation

First, write the two fractions side by side: (\frac{2}{3} \times \frac{1}{2}).
Next, multiply the numerators together: (2 \times 1 = 2).
Then, multiply the denominators: (3 \times 2 = 6).
This gives us the fraction (\frac{2}{6}).
Finally, simplify by dividing both numerator and denominator by their greatest common divisor, which is 2, resulting in (\frac{1}{3}).

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Real‑World Example

Imagine you are baking cookies and the recipe calls for half a cup of sugar. You only want to make two thirds of the batch, so you need two thirds of that half cup. Using the calculation above, you