What is 2/3,5/6,3/4,and7/12 in increasing oder
The given fractions in increasing order are 2/3, 5/6, 3/4, and 7/12.
To order the fractions 2/3, 5/6, 3/4, and 7/12 in increasing order, we can convert them to a common denominator and compare their numerators. Here are the steps:
Step 1: Find the common denominator.
The common denominator for these fractions is 12, which is the least common multiple of 3, 6, 4, and 12.
Step 2: Convert the fractions to have the common denominator.
2/3 is equivalent to (2/3) * (4/4) = 8/12
5/6 is equivalent to (5/6) * (2/2) = 10/12
3/4 remains the same.
7/12 remains the same.
Now, using the common denominator, the fractions become:
8/12, 10/12, 3/4, and 7/12
Step 3: Compare and order the fractions.
Now, we can compare the numerators of each fraction:
3 < 7 < 8 < 10
The fractions in increasing order are:
3/4, 7/12, 8/12, and 10/12
To arrange the given fractions in increasing order, we need to compare their values. One way to do this is by finding a common denominator for all the fractions and converting them into equivalent fractions with that denominator. Let's go through the steps together:
1. Find a common denominator for all the fractions. In this case, the smallest common multiple of the denominators 3, 6, 4, and 12 is 12.
2. Convert each fraction into an equivalent fraction with a denominator of 12:
2/3 = (2/3) * (4/4) = 8/12
5/6 = (5/6) * (2/2) = 10/12
3/4 = (3/4) * (3/3) = 9/12
7/12 (no conversion needed as the denominator is already 12)
3. Now that all the fractions have the same denominator of 12, we can compare their numerators to determine their order.
Since the fractions have the following numerators now:
8/12, 10/12, 9/12, and 7/12
We can clearly see that they are in increasing order:
7/12, 8/12, 9/12, and 10/12
Thus, the given fractions 2/3, 5/6, 3/4, and 7/12 arranged in increasing order would be 7/12, 8/12, 9/12, and 10/12.