Question

Identify the numeric order of these mixed numbers from largest to smallest: 2 3/6, 4 1/3, 1 3\4, 1 4/5

Answer 1

To order these mixed numbers from largest to smallest, we need to convert them all to improper fractions.

Let's start with each number:

1) 2 3/6 = 2(6/6) + 3/6 = 12/6 + 3/6 = 15/6

2) 4 1/3 = 4(3/3) + 1/3 = 12/3 + 1/3 = 13/3

3) 1 3/4 = 1(4/4) + 3/4 = 4/4 + 3/4 = 7/4

4) 1 4/5 = 1(5/5) + 4/5 = 5/5 + 4/5 = 9/5

Now, let's order them from largest to smallest:

15/6, 13/3, 7/4, 9/5

To compare them more easily, we can find a common denominator:

15/6 = 15/6 × 2/2 = 30/12
13/3 = 13/3 × 4/4 = 52/12
7/4 remains the same
9/5 remains the same

Now, the order from largest to smallest is:

52/12, 30/12, 7/4, 9/5

Finally, let's convert them back to mixed numbers:

52/12 = 4 4/12 = 4 1/3
30/12 = 2 6/12 = 2 1/2
7/4 remains the same
9/5 remains the same

The final order from largest to smallest is:

4 1/3, 2 1/2, 7/4, 9/5