put fractions in order from smallest to largest

2/3, 1/2. 1/4, 2/5

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You need to find the common denominator

2/3 = 40/60
1/2 = 30/60
1/4 = 15/60
2/5 = 24/60

Now they're easy to arrange from small to large.

1/2, 1/4, 2/3, 2/5

3/5 amd 4/10

To put fractions in order from smallest to largest, you can compare their numerical values. One way to compare fractions is to find a common denominator for all the fractions and then compare the numerators. Here's how you can do it for the given fractions:

1) 1/4: This fraction has a denominator of 4.

2) 1/2: To compare this fraction with 1/4, we need to find a common denominator. The smallest common multiple of 4 and 2 is 4. Multiply both the numerator and denominator of 1/2 by 2 to get 2/4.

3) 2/5: To compare this fraction with 1/4 and 1/2, we need to find a common denominator. The smallest common multiple of 4, 2, and 5 is 20. Multiply the numerator and denominator of 1/4 by 5 to get 5/20. Multiply the numerator and denominator of 1/2 by 10 to get 10/20. The fraction 2/5 remains the same.

Now, we have the following equivalent fractions:
1/4, 2/4, 2/5.

Since the denominators are the same, we can compare the numerators:

1/4 < 2/4 < 2/5.

Therefore, the fractions in order from smallest to largest are:
1/4, 2/4, 2/5.

Simplifying the fractions, we have 1/4, 1/2, 2/5 as the final answer.