To find one-half of two-thirds, you perform a multiplication of the two fractions. The multiplication of fractions involves multiplying the numerators together and the denominators together. Here’s how you do it step-by-step:
- Start with the fractions: 1/2 and 2/3.
- Multiply the numerators: 1 (numerator of the first fraction) × 2 (numerator of the second fraction) = 2.
- Multiply the denominators: 2 (denominator of the first fraction) × 3 (denominator of the second fraction) = 6.
- Now you have the new fraction: 2/6.
- Simplify the fraction: 2/6 can be simplified by dividing both the numerator and the denominator by 2, which gives you 1/3.
So, one-half of two-thirds is equal to one-third. This method of finding a fraction of another fraction is very useful in various mathematical contexts!