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 mixed numbers, we first need to convert them all to improper fractions.
Converting 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 order these improper fractions from largest to smallest:
15/6, 13/3, 7/4, 9/5
To compare these fractions, we can find a common denominator:
15/6 = 15/6 * 5/5 = 75/30
13/3 = 13/3 * 10/10 = 130/30
7/4 = 7/4 * 7/7 = 49/28
9/5 = 9/5 * 6/6 = 54/30
Now the order from largest to smallest is:
130/30, 75/30, 54/30, 49/28
Converting these back to mixed numbers:
130/30 = 4 10/30 = 4 1/3
75/30 = 2 15/30 = 2 1/2
54/30 = 1 24/30 = 1 4/5
49/28 = 1 21/28
So the final order from largest to smallest is:
4 1/3, 2 1/2, 1 4/5, 1 21/28