To determine who takes less time to stitch a certain style of dress between Jack and Anna, we need to compare their respective times.
1. We have that Jack takes [tex]\(\frac{3}{7}\)[/tex] of an hour.
2. Anna takes [tex]\(\frac{2}{3}\)[/tex] of an hour.
To compare these fractions, let's find a common denominator. However, intuitively we can compare them as follows:
- Let's convert these fractions to decimal form:
- [tex]\(\frac{3}{7} \approx 0.4286\)[/tex] (rounded to four decimal places).
- [tex]\(\frac{2}{3} \approx 0.6667\)[/tex] (rounded to four decimal places).
By looking at these decimal values, we can see that [tex]\(0.4286 < 0.6667\)[/tex], indicating that [tex]\(\frac{3}{7} < \(\frac{2}{3}\)[/tex].
Thus, Jack ([tex]\(\frac{3}{7}\)[/tex]) takes less time than Anna ([tex]\(\frac{2}{3}\)[/tex]) to stitch the dress.
Therefore, Jack takes less time to stitch the dress.
The correct answer is:
Jack
