Identify the numeric order of these mixed numbers from largest to smallest: 2 3/6, 4 1/3, 1 3/4, 1 4/5.
To compare these mixed numbers, we need to convert them all to improper fractions.
2 3/6 = 2 + 3/6 = 12/6 + 3/6 = 15/6
4 1/3 = 4 + 1/3 = 12/3 + 1/3 = 13/3
1 3/4 = 1 + 3/4 = 4/4 + 3/4 = 7/4
1 4/5 = 1 + 4/5 = 5/5 + 4/5 = 9/5
Now, let's list these fractions from largest to smallest:
15/6, 13/3, 7/4, 9/5
To compare these improper fractions, we need to find a common denominator. The least common multiple of 6, 3, 4, and 5 is 60. Let's convert each fraction to have a denominator of 60.
15/6 = (15/6) * (10/10) = 150/60
13/3 = (13/3) * (20/20) = 260/60
7/4 = (7/4) * (15/15) = 105/60
9/5 = (9/5) * (12/12) = 108/60
Now, let's list these fractions with denominator 60 from largest to smallest:
150/60, 260/60, 105/60, 108/60
Finally, let's convert these fractions back to mixed numbers:
150/60 = 2 30/60 = 2 1/2
260/60 = 4 20/60 = 4 1/3
105/60 = 1 45/60 = 1 3/4
108/60 = 1 48/60 = 1 4/5
Therefore, the correct order from largest to smallest is: 2 1/2, 4 1/3, 1 3/4, 1 4/5.
Incorrect
Apologies for the incorrect response.
Let's compare the mixed numbers again:
2 3/6 = 2 + 3/6 = 12/6 + 3/6 = 15/6
4 1/3 = 4 + 1/3 = 12/3 + 1/3 = 13/3
1 3/4 = 1 + 3/4 = 4/4 + 3/4 = 7/4
1 4/5 = 1 + 4/5 = 5/5 + 4/5 = 9/5
Now, let's compare these improper fractions:
15/6, 13/3, 7/4, 9/5
To compare these fractions, we can find the least common denominator (LCD), which is the least common multiple of the denominators. The LCD of 6, 3, 4, and 5 is 60.
Now, let's convert each fraction to have a denominator of 60:
15/6 = (15/6) * (10/10) = 150/60
13/3 = (13/3) * (20/20) = 260/60
7/4 = (7/4) * (15/15) = 105/60
9/5 = (9/5) * (12/12) = 108/60
The fractions with a denominator of 60 are:
150/60, 260/60, 105/60, 108/60
Now, let's write these fractions in mixed number form:
150/60 = 2 30/60 = 2 1/2
260/60 = 4 20/60 = 4 1/3
105/60 = 1 45/60 = 1 3/4
108/60 = 1 48/60 = 1 4/5
Therefore, the correct order from largest to smallest is: 4 1/3, 2 1/2, 1 4/5, 1 3/4.
To identify the numeric order of these mixed numbers from largest to smallest, we need to convert them into improper fractions. An improper fraction has the numerator larger than the denominator.
Let's convert each mixed number into an improper fraction:
2 3/6 = (2 * 6 + 3) / 6 = 15 / 6
4 1/3 = (4 * 3 + 1) / 3 = 13 / 3
1 3/4 = (1 * 4 + 3) / 4 = 7 / 4
1 4/5 = (1 * 5 + 4) / 5 = 9 / 5
Now that we have all the numbers as improper fractions, we can order them from largest to smallest:
15 / 6 > 13 / 3 > 9 / 5 > 7 / 4
To simplify the comparison, we can find a common denominator, which is the least common multiple of the denominators (6, 3, 5, 4). In this case, the least common multiple is 60.
So, let's convert each fraction so that they all have a denominator of 60:
15 / 6 = (15 * 10) / (6 * 10) = 150 / 60
13 / 3 = (13 * 20) / (3 * 20) = 260 / 60
9 / 5 = (9 * 12) / (5 * 12) = 108 / 60
7 / 4 = (7 * 15) / (4 * 15) = 105 / 60
Now we can see that the fractions become:
150 / 60, 260 / 60, 108 / 60, 105 / 60
Comparing the fractions, we can order them from largest to smallest:
260 / 60 > 150 / 60 > 108 / 60 > 105 / 60
Finally, converting them back to mixed numbers we have:
260 / 60 = 4 20/60 = 4 1/3
150 / 60 = 2 30/60 = 2 1/2
108 / 60 = 1 48/60 = 1 4/5
105 / 60 = 1 45/60 = 1 3/4
Therefore, the numeric order of the mixed numbers from largest to smallest is:
4 1/3, 2 1/2, 1 4/5, 1 3/4.