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

Question

, 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

Answer 1

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