Proper; Improper & Mixed Number Fractions
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This document discusses different types of fractions: - Proper fractions have a numerator less than the denominator (e.g. 1/4). - Improper fractions have a numerator greater than or equal to the denominator (e.g. 5/3). - Mixed numbers are a combination of a whole number and a proper fraction (e.g. 2 1/4). The document provides examples of converting between improper fractions and mixed numbers by dividing the numerator by the denominator to get the whole number part and remainder.
Proper; Improper & Mixed Number Fractions
- 1. Mathematics FRACTIONS Standard 3 Objectives Proper; Improper & Mixed Number
- 2. Proper Fractions • Fractions that are greater than 0 but less than 1 are called proper fractions. • In proper fractions, the numerator is less than the denominator. • Examples:
- 3. Improper Fractions • Fractions that have a numerator that is greater than or equal to the denominator, the fraction is an improper fraction. • An improper fraction is always 1 or greater than 1. Examples:
- 4. Mixed Fractions • A mixed number is a combination of a whole number and a proper fraction. • Examples:
- 5. Fractions Explained Fractions can be broken down into a division number sentence.
- 6. Fractions Explained Fractions can be broken down into a division number sentence. = 3
- 7. Changing Improper Fractions to Mixed Numbers An improper fraction can also be written as a mixed number. Below are three whole squares that are each divided into four parts. A fourth square is there as well, but someone has cut one part, remaining only three parts.
- 8. Changing Improper Fractions to Mixed Numbers You can use fractions to compare the number of parts you have to the number of parts that make up a whole. In this picture, the denominator is the total number of parts that make up one whole square, which is 4. • The total number of all parts of square, which is 15, represents the numerator. • The improper fraction is • Each whole square has 4 equal parts and there are 15 parts in total.
- 9. Changing Improper Fractions to Mixed Numbers As you looked at the image of the squares, however, you probably noticed right away that there were 3 whole squares, with one square with a part missing. • While you can use the improper fraction to represent the total amount of pizza, it is better to use a mixed number instead. • A fraction that includes both a whole number and a fractional part. • The mixed number is: .
- 10. Changing Improper Fractions to Mixed Numbers As you looked at the image of the squares, however, you probably noticed right away that there were 3 whole squares, with one square with a part missing. • While you can use the improper fraction to represent the total amount of pizza, it is better to use a mixed number instead. • A fraction that includes both a whole number and a fractional part. • The mixed number is: .
- 11. Improper Fractions to Mixed Numbers Here is an example of turning an improper fraction to a mixed number.
- 12. Improper Fractions to Mixed Numbers Here is an example of turning an improper fraction to a mixed number.
- 13. Improper Fractions to Mixed Numbers Here is an example of turning an improper fraction to a mixed number.
- 14. Improper Fractions to Mixed Numbers After doing your division: 1. The quotient becomes the whole number. 2. The remainder becomes the numerator. 3. The denominator stays the same.
- 15. Complete the Following For each one explain how did they got the answers below:
- 16. Changing Mixed Numbers to Improper Fractions
- 17. Changing Mixed Numbers to Improper Fractions
- 18. Changing Mixed Numbers to Improper Fractions
- 19. Changing Mixed Numbers to Improper Fractions
- 20. Complete the Following For each one explain how did they got the answers below: