Question

Ordering 3 or More Mixed Numbers
STRATEGY
Fill in this blank
• mixed number -a single value combining a whole number and a ____ part of a whole

• Order these mixed numbers from greatest to least:

1 4/8, 1 3/12, 1 8/1

use the benchmark to order the fractions.

Answer 1

To complete the sentence and order the mixed numbers, let's fill in the blank first:

• mixed number - a single value combining a whole number and a **fractional** part of a whole.

Now, let's order the mixed numbers from greatest to least: 1 4/8, 1 3/12, and 1 8/1.

1. First, let's convert the fractions to a more comparable form by finding a common basis.

- **1 4/8:** This can be simplified to 1/2, which is equal to 0.5 when considering the fractional part, so the mixed number is 1 + 0.5 = **1.5**.

- **1 3/12:** This fraction can also be simplified. 3/12 simplifies to 1/4, so the mixed number is 1 + 0.25 = **1.25**.

- **1 8/1:** This is equivalent to 1 + 8 = **9**.

2. Now we can compare the decimal values of each of the mixed numbers:

- 1 4/8 = 1.5
- 1 3/12 = 1.25
- 1 8/1 = 9

3. Finally, ordering these mixed numbers from greatest to least:

- **1 8/1 (9)**
- **1 4/8 (1.5)**
- **1 3/12 (1.25)**

So, the ordered mixed numbers from greatest to least are: **1 8/1, 1 4/8, 1 3/12**.