To compare the fractions and mixed numbers, we can convert them to improper fractions or decimals for easier comparison. Here are the conversions:
- \( 1 \frac{1}{2} = \frac{3}{2} = 1.5 \)
- \( \frac{1}{4} = 0.25 \)
- \( 1 \frac{3}{4} = \frac{7}{4} = 1.75 \)
- \( \frac{5}{6} \approx 0.8333 \)
Now we can list these values in decimal form:
- \( 1 \frac{1}{2} = 1.5 \)
- \( \frac{1}{4} = 0.25 \)
- \( 1 \frac{3}{4} = 1.75 \)
- \( \frac{5}{6} \approx 0.8333 \)
Now we can order them from largest to smallest:
- \( 1 \frac{3}{4} \) (or \( \frac{7}{4} \))
- \( 1 \frac{1}{2} \) (or \( \frac{3}{2} \))
- \( \frac{5}{6} \)
- \( \frac{1}{4} \)
So, the order from largest to smallest is:
- \( 1 \frac{3}{4} \)
- \( 1 \frac{1}{2} \)
- \( \frac{5}{6} \)
- \( \frac{1}{4} \)