Identify the numeric order of these fractions and Mixed numbers from smallest to largest:1 3/6, 2 3/5, 7/9, 1 7/8. (1 point) Responses.

Question

13/15, 15/8, 9/6, 7/9
2 3/5, 1 7/8, 1 3/6, 7/9
7/9, 1 3/6, 1 7/8, 2 3/5
7/9, 10/6, 16/18, 13/5

Answer 1

To order the given fractions and mixed numbers (1 3/6, 2 3/5, 7/9, 1 7/8) from smallest to largest, we'll first convert everything to improper fractions or decimals for easier comparison.

1. Convert Mixed Numbers to Improper Fractions:

   • $1\frac{3}{6}=\frac{6+3}{6}=\frac{9}{6}=\frac{3}{2}$
   • $2\frac{3}{5}=\frac{10+3}{5}=\frac{13}{5}$
   • $1\frac{7}{8}=\frac{8+7}{8}=\frac{15}{8}$

2. List the fractions:

   • $7/9$ (as it is)
   • $\frac{3}{2}=\frac{9}{6}$
   • $\frac{13}{5}$ (as it is)
   • $\frac{15}{8}$ (as it is)

3. Convert to a common denominator to compare or find decimal equivalents:

   • $7/9\approx 0.777$
   • $\frac{3}{2}=1.5$
   • $\frac{13}{5}=2.6$
   • $\frac{15}{8}=1.875$

Now in decimal form:

• $7/9\approx 0.777$
• $1\frac{7}{8}\approx 1.875$
• $1\frac{3}{6}\approx 1.5$
• $2\frac{3}{5}\approx 2.6$

4. Ordering the numbers by value:

• $7/9$ (≈ 0.777)
• $1\frac{3}{6}$ (1.5)
• $1\frac{7}{8}$ (1.875)
• $2\frac{3}{5}$ (2.6)

Now, rewriting in ordered form:

• $7/9$
• $1\frac{3}{6}$
• $1\frac{7}{8}$
• $2\frac{3}{5}$

The correct order from smallest to largest is: 7/9, 1 3/6, 1 7/8, 2 3/5

Thus, the correct response from the options would be: 7/9, 1 3/6, 1 7/8, 2 3/5