Mathematics » Introducing Fractions » Visualize Fractions

# Ordering Fractions and Mixed Numbers

## Ordering Fractions and Mixed Numbers

We can use the inequality symbols to order fractions. Remember that $$a>b$$ means that $$a$$ is to the right of $$b$$ on the number line. As we move from left to right on a number line, the values increase.

## Example

Order each of the following pairs of numbers, using $$<$$ or $$>:$$

1. $$-\frac{2}{3}\_\_\_-1$$
2. $$-3\frac{1}{2}\_\_\_-3$$
3. $$-\frac{3}{7}\_\_\_-\frac{3}{8}$$
4. $$-2\_\_\_\frac{-16}{9}$$

### Solution

$$-\frac{2}{3}>-1$$

$$-3\frac{1}{2}<-3$$

$$-\frac{3}{7}\phantom{\rule{0.2em}{0ex}}\text{<}\phantom{\rule{0.2em}{0ex}}-\frac{3}{8}$$

$$-2<\frac{-16}{9}$$

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