To find what 1 2 of 2 3 is in fraction form, we start by converting the mixed number into an improper fraction.
1 2 can be represented as:
- 1 (whole part) = 2/2
- 2 (numerator) = 2
So, 1 2 can be expressed as:
1 2 = 2/2 + 2/2 = 4/2 = 3/2
Next, we will take 2 3 and convert it to an improper fraction as well:
- 2 (whole part) = 2 × 3/2 = 6/3
- 3 (numerator) = 3
Thus, 2 3 can be expressed as:
2 3 = 6/3 + 3/3 = 9/3 = 8/3
Now we need to find what 1 2 of 2 3 means. This is equivalent to multiplying the two fractions:
(3/2) × (8/3) = (3 × 8) / (2 × 3)
We can now simplify. The 3 in the numerator and denominator cancels out:
= 8/2 = 4
Therefore, 1 2 of 2 3 equals 4.