Question

Identify the numeric order of these fractions and mixed numbers from smallest to largest: 1 3/6 , 2 3/5 , 79 , 178 .(1 point) Responses 2 3/5 , 1 7/8 , 1 3/6 , 7/9 2 Start Fraction 3 over 5 End Fraction , 1 Start Fraction 7 over 8 End Fraction , 1 Start Fraction 3 over 6 End Fraction , Start Fraction 7 over 9 End Fraction 13/15 , 15/8 , 9/6 , 7/9 Start Fraction 13 over 15 End Fraction , Start Fraction 15 over 8 End Fraction , Start Fraction 9 over 6 End Fraction , Start Fraction 7 over 9 End Fraction 7/9 , 1 3/6 , 1 7/8 , 2 3/5 Start Fraction 7 over 9 End Fraction , 1 Start Fraction 3 over 6 End Fraction , 1 Start Fraction 7 over 8 End Fraction , 2 Start Fraction 3 over 5 End Fraction 7/9 , 10/6 , 16/18 , 13/5

Answer 1

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.

1. 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:

- \( \frac{3}{2} = 1.5\)
- \( \frac{13}{5} = 2.6\)
- \(79 = 79.0\)
- \(178 = 178.0\)

2. 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. \(1 \frac{3}{6}\) (or \( \frac{3}{2}\))
2. \(2 \frac{3}{5}\) (or \( \frac{13}{5}\))
3. \(79\)
4. \(178\)

In summary, the numeric order from smallest to largest is:

\[ 1 \frac{3}{6}, 2 \frac{3}{5}, 79, 178 \]