Question

identify the numeric order of these mixed numbers from largest to smallest: 2 3/6 , 4 1/3 , 1 3/4 , 1 4/5 .

Answer 1

To compare the mixed numbers and arrange them from largest to smallest, it's helpful to convert each mixed number to an improper fraction or a decimal. Here’s how to do that for each mixed number:

1. **Convert the mixed numbers to improper fractions**:
- \(2 \frac{3}{6} = 2 + \frac{3}{6} = \frac{12}{6} + \frac{3}{6} = \frac{15}{6}\)
- \(4 \frac{1}{3} = 4 + \frac{1}{3} = \frac{12}{3} + \frac{1}{3} = \frac{13}{3}\)
- \(1 \frac{3}{4} = 1 + \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4}\)
- \(1 \frac{4}{5} = 1 + \frac{4}{5} = \frac{5}{5} + \frac{4}{5} = \frac{9}{5}\)

2. **Convert fractions to a common denominator for comparison** or convert to decimal:
- Decimal equivalents:
- \(2 \frac{3}{6} = 2.5\)
- \(4 \frac{1}{3} \approx 4.33\)
- \(1 \frac{3}{4} = 1.75\)
- \(1 \frac{4}{5} = 1.8\)

3. **List the decimal equivalents**:
- \(2.5\)
- \(4.33\)
- \(1.75\)
- \(1.8\)

4. **Order the values from largest to smallest**:
- \(4.33\) (which corresponds to \(4 \frac{1}{3}\))
- \(2.5\) (which corresponds to \(2 \frac{3}{6}\))
- \(1.8\) (which corresponds to \(1 \frac{4}{5}\))
- \(1.75\) (which corresponds to \(1 \frac{3}{4}\))

**Final Order from Largest to Smallest**:
1. \(4 \frac{1}{3}\)
2. \(2 \frac{3}{6}\)
3. \(1 \frac{4}{5}\)
4. \(1 \frac{3}{4}\)