Chapter 6 Fractions and Mixed Numbers

Chapter 6
Chapter Objectives:
* Fractions and mixed numbers are used to name wholes and parts of a whole.
* Fractions and mixed numbers can be added and subtracted.
Vocabulary:
Numerator  The numerator is the number above the fraction bar. It shows the number of equal parts of the whole or set.
Denominator  The denominator is the number below the fraction bar. It shows how many equal parts the whole or set is divided into.
Equivalent fractions  Equivalent fractions are fractions with different numerators and denominators but have the same value. Ex: 6/18 and 1/3 are equivalent fractions.
Unlike fractions  Unlike fractions are fractions with different denominators. Ex: 2/5 and 1/4 are unlike fractions.
Mixed number  A mixed number represents the sum of a whole number and a fraction. Ex: 2 1/3.
Simplest form  A fraction is in simplest form when the numerator and the denominator cannot be any smaller. To simplify a fraction, divide the numerator and the denominator by the highest number that can divide into both the numerator and the denominator exactly. Ex: 3/21 in simplest form is 1/7, and 6/9 in simplest form is 2/3.
Improper fraction  An improper fraction has a numerator that is greater that its denominator. It represents a fraction that is greater than 1 whole. Ex: 12/7.
Fraction bar  The line separating the numerator and the denominator in a fraction. The fraction bar means 'divided by'.
Division rule  The division rule can be used to rename an improper fraction as a mixed number. Ex: 9/4 means 9 divided by 4. 9 ÷ 4 = 2 R 1
Multiplication rule  The multiplication rule can be used to rename a mixed number as an improper fraction. Ex: 3 3/4 = 3 + 3/4 = 12/4 + 3/4 = 15/4