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

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

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

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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To compare the fractions, it is helpful to convert them to a common denominator or to convert them to decimal form. Let's establish their decimal equivalents for clarity:

  1. \(\frac{30}{36} = \frac{5}{6} \approx 0.8333\)
  2. \(\frac{18}{36} = \frac{1}{2} = 0.5\)
  3. \(\frac{12}{36} = \frac{1}{3} \approx 0.3333\)
  4. \(\frac{6}{36} = \frac{1}{6} \approx 0.1667\)

Now we will arrange them from smallest to largest by their decimal values:

  • \(\frac{6}{36} \approx 0.1667\)
  • \(\frac{12}{36} \approx 0.3333\)
  • \(\frac{18}{36} = 0.5\)
  • \(\frac{30}{36} \approx 0.8333\)

So, the order from smallest to largest is:

  1. \(\frac{6}{36}\)
  2. \(\frac{12}{36}\)
  3. \(\frac{18}{36}\)
  4. \(\frac{30}{36}\)

Thus, in numeric order from smallest to largest, the answer is:

  • \( \frac{6}{36}, \frac{12}{36}, \frac{18}{36}, \frac{30}{36} \)

Which corresponds to:

Start Fraction 6 over 36 End Fraction, Start Fraction 12 over 36 End Fraction, Start Fraction 18 over 36 End Fraction, Start Fraction 30 over 36 End Fraction