Order the following fractions from smallest to largest: 3/8, 1/3, 5/9, 2/5
You can either change these fractions to equivalent fractions with the same denominator, or you can change them to equivalent decimals.
-1.5
To order fractions from smallest to largest, you need to compare their values. Here's a step-by-step explanation of how to do it:
Step 1: Find a common denominator for all the fractions. In this case, the common denominator is 360 since it is divisible by all the denominators: 8, 3, 9, and 5.
Step 2: Convert each fraction to have the common denominator of 360. To do this, multiply both the numerator and denominator of each fraction by the appropriate amount.
3/8 = (3 * 45) / (8 * 45) = 135/360
1/3 = (1 * 120) / (3 * 120) = 120/360
5/9 = (5 * 40) / (9 * 40) = 200/360
2/5 = (2 * 72) / (5 * 72) = 144/360
Now, all the fractions have the same denominator: 360.
Step 3: Simply compare the numerators of the fractions to determine their order:
120/360 < 135/360 < 144/360 < 200/360
Step 4: Rewrite the fractions in their original form (not multiply numerator and denominator by the same number) to get the final order:
1/3 < 3/8 < 2/5 < 5/9
Therefore, the fractions from smallest to largest are 1/3, 3/8, 2/5, and 5/9.