To order the given fractions and mixed numbers from smallest to largest, let's first convert all the values to improper fractions or decimals for easier comparison.
- Convert mixed numbers to improper fractions:
- \(1 \frac{3}{6} = \frac{6 + 3}{6} = \frac{9}{6} = \frac{3}{2}\) (in simplest form)
- \(2 \frac{3}{5} = \frac{10 + 3}{5} = \frac{13}{5}\)
- \(79\) is already an integer.
- \(178\) is already an integer.
Now, we need to compare the fractions and integers:
- \( \frac{3}{2} = 1.5\)
- \( \frac{13}{5} = 2.6\)
- \(79 = 79.0\)
- \(178 = 178.0\)
- Now we can order these values:
- \(1.5\) (\(1 \frac{3}{6}\))
- \(2.6\) (\(2 \frac{3}{5}\))
- \(79.0\) (\(79\))
- \(178.0\) (\(178\))
The order from smallest to largest is:
- \(1 \frac{3}{6}\) (or \( \frac{3}{2}\))
- \(2 \frac{3}{5}\) (or \( \frac{13}{5}\))
- \(79\)
- \(178\)
In summary, the numeric order from smallest to largest is:
\[ 1 \frac{3}{6}, 2 \frac{3}{5}, 79, 178 \]