Lesson 7
Let's compare fractions with the same denominator.
Remember that m means meter.
There are 8/5 m of red tape and 6/5 m of yellow tape. Which is longer?
8/5 m is 8 times 1/5 m, and 6/5 m is 6 times 1/5 m.
8 > 6 and therefore 8/5 > 6/5.
Use the number line to help you compare each pair of fractions. Select < or > to show their relationship.
111
Which is larger, 13/10 or 1 7/10?
| Since | 13 | = 1 | 3 | and 1 | 3 | < 1 | 7 | then | 13 | < 1 | 7 | . |
| 10 | 10 | 10 | 10 | 10 | 10 |
| Also, since 1 | 7 | = | 17 | and | 13 | < | 17 | then | 13 | < 1 | 7 | . |
| 10 | 10 | 10 | 10 | 10 | 10 |
To compare the sizes of improper and mixed numbers, first change them to the same kind (both fractions or both mixed numbers).
Compare each pair of fractions below. Select < or > or = to show the comparison.
| 1 | 1 | 2 | 1 | 7 | 5 | 3 | 2 | 7 | |||||
| 2 | 2 | 4 | 4 | 10 |
| 19 | 4 | 1 | 9 | 1 | 3 | 2 | 1 | 20 | |||||
| 15 | 5 | 6 | 6 | 8 | 8 |