Order the following fractions from smallest to largest: 3/8, 1/3, 5/9, 2/5
1/3,3/8,2/5,5/9
3/5,2/3,11/20 least to greatest
3/5,2/3,11/20
To order the fractions from smallest to largest, we need to compare their values. One way to do this is by finding a common denominator for all the fractions.
Step 1: Find a common denominator
In this case, the common denominator of 8, 3, 9, and 5 is 360 (a multiple of all the denominators).
Step 2: Convert the fractions to have the same denominator
To convert the fractions, multiply the numerator and denominator of each fraction by the same value that will make the denominator equal to 360.
For 3/8:
(3/8) * (45/45) = 135/360
For 1/3:
(1/3) * (120/120) = 120/360
For 5/9:
(5/9) * (40/40) = 200/360
For 2/5:
(2/5) * (72/72) = 144/360
Now we have:
3/8 = 135/360
1/3 = 120/360
5/9 = 200/360
2/5 = 144/360
Step 3: Order the fractions from smallest to largest
Now that all the fractions have the same denominator, we can compare their numerators.
Ordering the fractions from smallest to largest:
1. 120/360 (1/3)
2. 135/360 (3/8)
3. 144/360 (2/5)
4. 200/360 (5/9)
Therefore, the fractions from smallest to largest are: 1/3, 3/8, 2/5, 5/9.