Order the following fractions in ascending order: 1/2 , 5/8 , 1/4 , 3/5 , 4/19
TIP: You will click the three lines next to the fractions in the list below to drag them into the correct order.
(1 point)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.
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Apologies for the mistake. Here is the correct order:
1/4 , 1/2 , 5/8 , 3/5 , 4/19
1/4 , 1/2 , 3/5 , 5/8 , 4/19
that is incorrect
To order the fractions in ascending order, follow these steps:
1. Compare 1/2 with 5/8.
- Since 5/8 is greater than 1/2, move 5/8 after 1/2.
The new order becomes:
1/2, 5/8, 1/4, 3/5, 4/19
2. Compare 5/8 with 1/4.
- Since 1/4 is smaller than 5/8, move 1/4 before 5/8.
The new order becomes:
1/2, 1/4, 5/8, 3/5, 4/19
3. Compare 5/8 with 3/5.
- Convert both fractions to decimal form for easy comparison.
- 5/8 becomes 0.625
- 3/5 becomes 0.6
- Since 0.6 is smaller than 0.625, move 3/5 before 5/8.
The new order becomes:
1/2, 1/4, 3/5, 5/8, 4/19
4. Compare 5/8 with 4/19.
- Convert both fractions to decimal form.
- 5/8 becomes 0.625
- 4/19 becomes 0.2105
- Since 0.2105 is smaller than 0.625, move 4/19 before 5/8.
The final order is:
1/2, 1/4, 3/5, 4/19, 5/8
To order the fractions in ascending order, we need to compare them and place them in the correct position based on their size. Let's compare the fractions one by one:
1. Compare 1/2 and 5/8:
To compare these fractions, we can find a common denominator. The least common multiple of 2 and 8 is 8. So, we can rewrite the fractions with a common denominator:
1/2 = 4/8
5/8 = 5/8
Since 4/8 is smaller than 5/8, we know that 1/2 should come before 5/8 in the ascending order.
2. Compare 1/2 (now placed correctly) and 1/4:
We can again find a common denominator for these fractions. The least common multiple of 2 and 4 is 4. Let's rewrite the fractions with that denominator:
1/2 = 2/4
1/4 = 1/4
Since 1/4 is smaller than 2/4, we can conclude that 1/4 should come before 1/2 and 5/8 in the ascending order.
3. Compare 1/4 (now placed correctly), 5/8, and 3/5:
To compare these fractions, we need a common denominator. The least common multiple of 4, 8, and 5 is 40. Let's rewrite the fractions with that denominator:
1/4 = 10/40
5/8 = 25/40
3/5 = 24/40
Now, we can see that 10/40 (equivalent to 1/4) is the smallest fraction, followed by 24/40 (equivalent to 3/5) and then 25/40 (equivalent to 5/8).
4. Compare 1/4, 3/5 (now placed correctly), 5/8, and 4/19:
Since 4/19 is the only fraction left, we can place it after 25/40. Therefore, the ascending order of the fractions is:
1/4, 3/5, 5/8, 4/19.