Prealgebra, Chapter 5 Fractions and Rational Expressions: 5.1 Fractions, Mixed Numbers, and Rational Expressions Definitions:
•
•
•
•
•
•
•
•
•
•
Fraction – A number that describes a part of a whole
Numerator – The number written in the top position in a fraction
Denominator – The number written in the bottom position in a fraction
Rational number – A number that can be expressed as a ratio of integers
Simplify – Write an equivalent expression with fewer symbols or smaller
numbers
Simplest form – An equivalent expression written with the fewest symbols
and the smallest numbers possible
Equivalent fractions – Fractions that name the same number
Multiple – A number that is evenly divided by a given number
Improper fraction – A fraction in which the absolute value of the
numerator is greater than or equal to the absolute value of the denominator
Mixed number – An integer combine with a fraction
Objective 1: Name the fraction represented by the shaded region
•
•
•
Count the number of shaded items
o this number goes in the numerator
Count the number of regions total (both shaded and unshaded)
o this number goes in the denominator
Simplify
Objective 2: Graph Fractions on a number line
•
Resource: Carson, T. (2009 ). Prealgebra – 3rd ed..
Prealgebra, Chapter 5 Fractions and Rational Expressions: 5.1 Fractions, Mixed Numbers, and Rational Expressions Objective 3: Simplify fractions
•
Any number divided by “1” is equal to itself
o
•
“0” divided by any number is equal to “0”
o
•
Any number divided by “0” is undefined
o
•
Any number divided by itself is equal to “1”
o
Objective 4: Write equivalent fractions
•
o
o
Objective 5: Use < or > to make a true statement
•
To compare fractions, they must first have a common denominator
Resource: Carson, T. (2009 ). Prealgebra – 3rd ed..
Prealgebra, Chapter 5 Fractions and Rational Expressions: 5.1 Fractions, Mixed Numbers, and Rational Expressions o
•
If they don’t have the same denominator, make them equivalent fractions
with the same denominator
o
Objective 6: Write improper fractions as mixed numbers
•
To write an improper fraction as a mixed number
o Divide the denominator into the numerator
ƒ The answer is your integer
ƒ The remainder is your numerator
ƒ The original denominator is also your new denominator
•
•
Objective 7: Write mixed numbers as improper fractions
•
•
To write a mixed number as an improper fraction
o Multiply the denominator by the integer
o Add the resulting product to the numerator
o This answer is your numerator in your new improper fraction
o Keep the same denominator
=
Resource: Carson, T. (2009 ). Prealgebra – 3rd ed..
Prealgebra, Chapter 5 Fractions and Rational Expressions: 5.1 Fractions, Mixed Numbers, and Rational Expressions •
=
Resource: Carson, T. (2009 ). Prealgebra – 3rd ed..