In which of the following are 1/2,5/6, and 5/8 arranged in ascending order?
None of the above.
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To arrange the fractions 1/2, 5/6, and 5/8 in ascending order, follow these steps:
Step 1: Find a common denominator for all the fractions.
The least common denominator (LCD) for the denominators 2, 6, and 8 is 24.
Step 2: Convert each fraction to have the same denominator.
To convert 1/2, multiply both the numerator and denominator by 12 to get 12/24.
To convert 5/6, multiply both the numerator and denominator by 4 to get 20/24.
To convert 5/8, multiply both the numerator and denominator by 3 to get 15/24.
Now, the fractions become:
1/2 = 12/24
5/6 = 20/24
5/8 = 15/24
Step 3: Compare the numerators of the fractions.
The fractions now become:
12/24, 20/24, and 15/24.
Since the fractions have the same denominator, you only need to compare the numerators.
Step 4: Arrange the fractions in ascending order based on their numerators.
The fractions, arranged in ascending order, are:
12/24, 15/24, and 20/24.
Therefore, the fractions 1/2, 5/8, and 5/6 are arranged in ascending order as 1/2, 5/8, and 5/6.
To determine the ascending order of the given fractions: 1/2, 5/6, and 5/8, we can compare them by finding a common denominator and comparing the numerators.
Step 1: Finding the common denominator:
The common denominator is the least common multiple (LCM) of the denominators, which in this case is 24 (LCM of 2, 6, and 8).
Step 2: Converting fractions to have the same denominator:
Now we need to rewrite the fractions with the common denominator of 24:
1/2 can be written as 12/24,
5/6 can be written as 20/24,
5/8 can be written as 15/24.
Step 3: Comparing the numerators:
Now that all the fractions have the same denominator, we can compare the numerators:
12/24, 20/24, 15/24.
Comparing the numerators, we can see that the fractions are arranged in the ascending order:
12/24 < 15/24 < 20/24.
So, the ascending order of the fractions is: 1/2, 5/8, 5/6.