Question

Which is greater 3 3/10 or 2 7/10

Answer 1

To compare the two mixed numbers \(3 \frac{3}{10}\) and \(2 \frac{7}{10}\), we can convert them to improper fractions or convert them to decimal form.

1. **Convert to improper fractions:**
- \(3 \frac{3}{10} = \frac{3 \times 10 + 3}{10} = \frac{30 + 3}{10} = \frac{33}{10}\)
- \(2 \frac{7}{10} = \frac{2 \times 10 + 7}{10} = \frac{20 + 7}{10} = \frac{27}{10}\)

Now we can compare:
- \(\frac{33}{10}\) vs. \(\frac{27}{10}\)

Since \(33 > 27\), it follows that \(\frac{33}{10} > \frac{27}{10}\).

2. **Convert to decimal:**
- \(3 \frac{3}{10} = 3 + 0.3 = 3.3\)
- \(2 \frac{7}{10} = 2 + 0.7 = 2.7\)

Again, \(3.3 > 2.7\).

So, \(3 \frac{3}{10}\) is greater than \(2 \frac{7}{10}\).