How do equivalent fractions help you compare fractions
with different numerators and denominators?
Fractions that have different numerators and denominators can
be compared using models or by using equivalent
fractions with common
denominators.
| Example 1: |
To compare different groups of juice boxes |
| |
using models to find which group has a |
| |
greater fraction of grape juice: |

- Each group of juice boxes is one whole. You are comparing
one whole group to another whole group.
- Notice that 5 of the 9
juice boxes in the top group is only a small
portion of the total boxes in that group. Then notice
that 3 of the 4
juice boxes in the bottom group are almost
all of the total boxes in that group.
This means that
is less of a whole group than
.
- Remember, the larger the denominator, the smaller the part
of the whole group it represents.
You can also draw fraction models to compare the groups.

The fraction models show that
is less than
.
