| Comparing fractions and mixed numbers | |
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| Description | |
| Exercise Name: | Comparing fractions and mixed numbers |
| Math Missions: | 4th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission, Mathematics I Math Mission |
| Types of Problems: | 1 |
The Comparing fractions and mixed numbers exercise appears under the 4th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission and Mathematics I Math Mission. This exercise practices the ability to recognize relative sizes between mixed numbers and improper fractions.
Types of Problems[]
There is one type of problem in this exercise:
- Compare the mixed number and improper fraction: This problem provides two numbers, one of which is a mixed number and the other, an improper fraction. The student is asked to select which of the symbols <, >, or = can be placed between the numbers to make a true sentence.
Compare the mixed number and improper fraction
Strategies[]
Knowledge of fractions as part of a whole will ensure success on this exercise.
- In most mathematics, improper fractions are preferred because operations can be performed more mechanically. However, in common conversation mixed numbers occur more frequently.
- Dividing the improper fraction (seeing how many wholes it contains) can often determine which fraction is larger quickly.
- A calculator would go against the spirit of the problem, but can transfer numbers into decimals which may increase efficiency for some.
- An equivalent improper fraction and mixed number does occur on this problem, so the equals sign will be used occasionally.
Real-life Applications[]
- Fractions can be a source of weakness for many students but are important in measurement, science and economics. The strengthening of fractions via geometric models will increase proficiency with fractions.
- Fractions are used in real life in many different ways, but they are most commonly used in the cooking, construction and science industries.