Question

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

7/9, 1 3/6, 1 7/8, 2 3/ 5


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

1315
, 158
, 96
, 79

Answer 1

To compare the fractions and mixed numbers, it’s helpful to convert them all to comparable forms, either as improper fractions or decimal numbers.

Let's convert each number:

1. \( 1 \frac{3}{6} = 1 + \frac{3}{6} = 1 + 0.5 = 1.5 \)
2. \( 2 \frac{3}{5} = 2 + \frac{3}{5} = 2 + 0.6 = 2.6 \)
3. \( \frac{7}{9} \approx 0.777... \) (or approximately \( 0.78 \))
4. \( 1 \frac{7}{8} = 1 + \frac{7}{8} = 1 + 0.875 = 1.875 \)

Now, let's list them in decimal form:
- \( \frac{7}{9} \approx 0.777... \)
- \( 1 \frac{3}{6} = 1.5 \)
- \( 1 \frac{7}{8} = 1.875 \)
- \( 2 \frac{3}{5} = 2.6 \)

Now we can order these from smallest to largest:

1. \( \frac{7}{9} \approx 0.777... \)
2. \( 1 \frac{3}{6} = 1.5 \)
3. \( 1 \frac{7}{8} = 1.875 \)
4. \( 2 \frac{3}{5} = 2.6 \)

Therefore, the correct order from smallest to largest is:

**7/9, 1 3/6, 1 7/8, 2 3/5**