Question

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

79
, 136
, 178
, 235
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

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

Answer 1

To put the fractions and mixed numbers in numeric order from smallest to largest, we'll convert all the mixed numbers and fractions into decimal form or compare them directly. Let's analyze each set provided:

1. **Set 1**:
- \( \frac{7}{9} \approx 0.777 \)
- \( 1 \frac{3}{6} = 1.5 \)
- \( 1 \frac{7}{8} = 1.875 \)
- \( 2 \frac{3}{5} = 2.6 \)

Ordering them:
- \( \frac{7}{9} \) (0.777)
- \( 1 \frac{3}{6} \) (1.5)
- \( 1 \frac{7}{8} \) (1.875)
- \( 2 \frac{3}{5} \) (2.6)

Order: **\( \frac{7}{9}, 1 \frac{3}{6}, 1 \frac{7}{8}, 2 \frac{3}{5} \)**

2. **Set 2**:
- \( \frac{13}{15} \approx 0.867 \)
- \( \frac{15}{8} = 1.875 \)
- \( \frac{9}{6} = 1.5 \)
- \( \frac{7}{9} \approx 0.777 \)

Ordering them:
- \( \frac{7}{9} \) (0.777)
- \( \frac{13}{15} \) (0.867)
- \( \frac{9}{6} \) (1.5)
- \( \frac{15}{8} \) (1.875)

Order: **\( \frac{7}{9}, \frac{13}{15}, \frac{9}{6}, \frac{15}{8} \)**

3. **Set 3**:
- \( 235 \) (as it is, 2.35)
- \( 178 \) (as it is, 1.78)
- \( 136 \) (as it is, 1.36)
- \( 79 \) (as it is, 0.79)

Ordering them:
- \( 79 \)
- \( 136 \)
- \( 178 \)
- \( 235 \)

Order: **\( 79, 136, 178, 235 \)**

4. **Set 4**:
- \( 79 \) (as is, 0.79)
- \( 106 \) (as is, 1.06)
- \( 1618 \) (as is, 16.18)
- \( 135 \) (as is, 1.35)

Ordering them:
- \( 79 \)
- \( 106 \)
- \( 135 \)
- \( 1618 \)

Order: **\( 79, 106, 135, 1618 \)**

Now, let's summarize the numeric order of the fractions and mixed numbers from the sets presented:

1. **Set 1**: \( \frac{7}{9}, 1 \frac{3}{6}, 1 \frac{7}{8}, 2 \frac{3}{5} \)
2. **Set 2**: \( \frac{7}{9}, \frac{13}{15}, \frac{9}{6}, \frac{15}{8} \)
3. **Set 3**: \( 79, 136, 178, 235 \)
4. **Set 4**: \( 79, 106, 135, 1618 \)

Conclusion:

The fraction and mixed number order from smallest to largest for each set is as stated above.