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)
The fractions in ascending order are:
1/4 , 1/2 , 3/5 , 5/8 , 4/19
To order the fractions in ascending order: 1/2, 5/8, 1/4, 3/5, 4/19.
First, let's compare 1/2 and 5/8:
Since the numerators are the same, we can compare the denominators.
Since 8 is greater than 2, 5/8 is greater than 1/2.
Next, let's compare 1/2 and 1/4:
Since the denominators are the same, we can compare the numerators.
Since 2 is greater than 1, 1/2 is greater than 1/4.
Now, let's compare 1/2 and 3/5:
To compare these fractions, we can find their common denominator.
The common denominator for 2 and 5 is 10.
Multiplying the numerator and denominator of 1/2 by 5, we get 5/10.
Multiplying the numerator and denominator of 3/5 by 2, we get 6/10.
Since 5 is less than 6, 3/5 is greater than 1/2.
Next, let's compare 1/2 and 4/19:
To compare these fractions, we can find their common denominator.
The common denominator for 2 and 19 is 38.
Multiplying the numerator and denominator of 1/2 by 19, we get 19/38.
Multiplying the numerator and denominator of 4/19 by 2, we get 8/38.
Since 8 is less than 19, 4/19 is less than 1/2.
Finally, let's compare 3/5 and 4/19:
To compare these fractions, we can find their common denominator.
The common denominator for 5 and 19 is 95.
Multiplying the numerator and denominator of 3/5 by 19, we get 57/95.
Multiplying the numerator and denominator of 4/19 by 5, we get 20/95.
Since 20 is less than 57, 4/19 is less than 3/5.
Now we can order the fractions in ascending order:
1/4, 4/19, 1/2, 3/5, 5/8.
To order the fractions in ascending order, we need to compare their values. One way to do this is by finding a common denominator for all the fractions.
Let's find the common denominator by finding the least common multiple (LCM) of all the denominators.
The denominators in the given fractions are: 2, 8, 4, 5, and 19.
The LCM of these numbers is 2 * 2 * 2 * 5 * 19 = 760.
Now, we need to convert each fraction to have a denominator of 760.
1/2 = (1 * 380) / (2 * 380) = 380/760
5/8 = (5 * 95) / (8 * 95) = 475/760
1/4 = (1 * 190) / (4 * 190) = 190/760
3/5 = (3 * 152) / (5 * 152) = 456/760
4/19 = (4 * 40) / (19 * 40) = 160/760
Now that all the fractions have a common denominator, we can compare their numerators.
The fractions in ascending order are:
380/760, 160/760, 190/760, 456/760, 475/760
Therefore, the correct order is:
1/2, 4/19, 1/4, 3/5, 5/8