Question

Identify the numeric order of these fractions and mixed numbers from smallest to largest: 136
, 235
, 79
, 178
.(1 point)
Responses

1315
, 158
, 96
, 79
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

235
, 178
, 136
, 79
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

79
, 106
, 1618
, 135
Start Fraction 7 over 9 End Fraction , Start Fraction 10 over 6 End Fraction , Start Fraction 16 over 18 End Fraction , Start Fraction 13 over 5 End Fraction

79
, 136
, 178
, 235

Answer 1

To order the fractions and mixed numbers from smallest to largest, let's first convert them into decimal form for easier comparison:

1. **Start Fraction 13 over 15 End Fraction**:
- \( \frac{13}{15} \approx 0.8667 \)

2. **Start Fraction 15 over 8 End Fraction**:
- \( \frac{15}{8} = 1.875 \)

3. **Start Fraction 9 over 6 End Fraction**:
- \( \frac{9}{6} = 1.5 \)

4. **Start Fraction 7 over 9 End Fraction**:
- \( \frac{7}{9} \approx 0.7778 \)

Now, let's order these:

- \( 0.7778 \) (7/9)
- \( 0.8667 \) (13/15)
- \( 1.5 \) (9/6)
- \( 1.875 \) (15/8)

So, the order from smallest to largest is:
- Start Fraction 7 over 9 End Fraction
- Start Fraction 13 over 15 End Fraction
- Start Fraction 9 over 6 End Fraction
- Start Fraction 15 over 8 End Fraction

Therefore, the final numeric order should be:
1. Start Fraction 7 over 9 End Fraction
2. Start Fraction 13 over 15 End Fraction
3. Start Fraction 9 over 6 End Fraction
4. Start Fraction 15 over 8 End Fraction