Identify the numeric order of these fractions from smallest to largest: 36

Question

, 16
, 56
, 26
.(1 point)
Responses

16
, 26
, 36
, 56
Start Fraction 1 over 6 End Fraction , Start Fraction 2 over 6 End Fraction , Start Fraction 3 over 6 End Fraction , Start Fraction 5 over 6 End Fraction

1836
, 56
, 636
, 26
Start Fraction 18 over 36 End Fraction , Start Fraction 5 over 6 End Fraction , Start Fraction 6 over 36 End Fraction , Start Fraction 2 over 6 End Fraction

3036
, 1836
, 1236
, 636
Start Fraction 30 over 36 End Fraction , Start Fraction 18 over 36 End Fraction , Start Fraction 12 over 36 End Fraction , Start Fraction 6 over 36 End Fraction

36
, 26
, 16
, 56
Start Fraction 3 over 6 End Fraction , Start Fraction 2 over 6 End Fraction , Start Fraction 1 over 6 End Fraction , Start Fraction 5 over 6 End Fraction

Answer 1

To arrange the fractions \( \frac{36}{36}, \frac{16}{36}, \frac{56}{36}, \frac{26}{36} \), we first convert them to their simplest forms:

1. \( \frac{16}{36} = \frac{4}{9} \)
2. \( \frac{26}{36} = \frac{13}{18} \)
3. \( \frac{36}{36} = 1 \)
4. \( \frac{56}{36} = \frac{14}{9} \)

Next, we can convert these fractions to a common denominator or approximate their decimal values for easier comparison:

• \( \frac{4}{9} \approx 0.444 \)
• \( \frac{13}{18} \approx 0.722 \)
• \( 1 = 1.0 \)
• \( \frac{14}{9} \approx 1.556 \)

Now we can order them from smallest to largest:

1. \( \frac{4}{9} \) (or \( 16 \))
2. \( \frac{13}{18} \) (or \( 26 \))
3. \( 1 \) (or \( 36 \))
4. \( \frac{14}{9} \) (or \( 56 \))

So, the numeric order of these fractions from smallest to largest is:

16, 26, 36, 56.