What Are Fractions?
Integer
• An integer is a POSITIVE or NEGATIVE whole number
• Examples:
1, 5, 8, 25, 90, -3, -56, -234
• Non-Examples:
.5, ½, 100.25, -3/4
What is a Fraction?
• A fraction is a part of a whole
– like a piece of a whole pizza or a whole pie
• A fraction is also a part of a set
– like in a dozen cupcakes
Equal Parts
• To have a fraction, you must have
equal parts
not equal parts
equal parts
What does a fraction look like?
1
4 denominator
numerator
Numerator and Denominator
Numerator – The number on top that tells how
many equal parts are described in the fraction.
Denominator – The quantity below the line in a
fraction. It tells the number of equal parts into
which the whole is divided.
How Do We Read Fractions?
• one half
2
1
3
1
4
1
6
1
8
1
10
1
• one third
• one fourth
• one sixth
• one eighth
• one tenth
the number of peanut butter cookies
the total number of cookies
1
Parts of a Set
• Example - We made 6 cookies. 1 is
peanut butter and 5 are chocolate
chip. How would you write the
number of peanut butter cookies as a
fraction.
6
Parts of a Set
• What fraction of the triangles are red?
red triangles
total number triangles
1
2
Parts of a Set
• What fraction of the boxes are
orange?
orange boxes
total number boxes
1
4
Parts of a Set
• What fraction of the stars are yellow?
yellow stars
total number stars
4
10
Parts of a Whole
• Example – I ordered one whole pizza.
It was cut into 8 slices. I ate 2 slices.
What fraction of the whole pizza did I
eat?
the number of slices I ate
the total number of pizza slices
2
8
Parts of a Whole
• What is the fraction of the colored part
of each picture below?
2
1
3
1
4
1
8
1
6
1
Parts of a Whole
• What is the fraction of the blue part of
the picture below?
1
4
2
3
4
Parts of a Whole
• What is the fraction of the colored part
of each picture below?
3
2
6
4
4
3
2
2
8
7
Proper Fraction
• A Proper Fraction has a top number (numerator) less than its bottom
number (denominator)
• Example:
3
2
8
7
Improper Fraction
Fraction in which the numerator is bigger than the denominator. You must DIVIDE to
make it into a mixed number.
EX: 25
4
Mixed Number
Number that contains a whole number and a fraction.
Ex: 3 ½
Greatest Common Facter
•Also known as GCF
•The largest number that divides evenly into two or more numbers.
•Used when simplifying fractions
Least Common Multiple
• The least common multiple of the denominators of two or more fractions.
• Ex: 4/8 and 5/6
• Multiples of 8: 8, 16, 24, 32, 40, 48, 56
• Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
• PowerPoint a combination of:
– http://www.teacherspayteachers.com/Product/Intro-to-Fractions-PowerPo
int-Lesson-506079
And
- Mrs. Draper

introduction_to_fractions_powerpoint.ppt

  • 1.
  • 2.
    Integer • An integeris a POSITIVE or NEGATIVE whole number • Examples: 1, 5, 8, 25, 90, -3, -56, -234 • Non-Examples: .5, ½, 100.25, -3/4
  • 3.
    What is aFraction? • A fraction is a part of a whole – like a piece of a whole pizza or a whole pie • A fraction is also a part of a set – like in a dozen cupcakes
  • 4.
    Equal Parts • Tohave a fraction, you must have equal parts not equal parts equal parts
  • 5.
    What does afraction look like? 1 4 denominator numerator
  • 6.
    Numerator and Denominator Numerator– The number on top that tells how many equal parts are described in the fraction. Denominator – The quantity below the line in a fraction. It tells the number of equal parts into which the whole is divided.
  • 7.
    How Do WeRead Fractions? • one half 2 1 3 1 4 1 6 1 8 1 10 1 • one third • one fourth • one sixth • one eighth • one tenth
  • 8.
    the number ofpeanut butter cookies the total number of cookies 1 Parts of a Set • Example - We made 6 cookies. 1 is peanut butter and 5 are chocolate chip. How would you write the number of peanut butter cookies as a fraction. 6
  • 9.
    Parts of aSet • What fraction of the triangles are red? red triangles total number triangles 1 2
  • 10.
    Parts of aSet • What fraction of the boxes are orange? orange boxes total number boxes 1 4
  • 11.
    Parts of aSet • What fraction of the stars are yellow? yellow stars total number stars 4 10
  • 12.
    Parts of aWhole • Example – I ordered one whole pizza. It was cut into 8 slices. I ate 2 slices. What fraction of the whole pizza did I eat? the number of slices I ate the total number of pizza slices 2 8
  • 13.
    Parts of aWhole • What is the fraction of the colored part of each picture below? 2 1 3 1 4 1 8 1 6 1
  • 14.
    Parts of aWhole • What is the fraction of the blue part of the picture below? 1 4 2 3 4
  • 15.
    Parts of aWhole • What is the fraction of the colored part of each picture below? 3 2 6 4 4 3 2 2 8 7
  • 16.
    Proper Fraction • AProper Fraction has a top number (numerator) less than its bottom number (denominator) • Example: 3 2 8 7
  • 17.
    Improper Fraction Fraction inwhich the numerator is bigger than the denominator. You must DIVIDE to make it into a mixed number. EX: 25 4
  • 18.
    Mixed Number Number thatcontains a whole number and a fraction. Ex: 3 ½
  • 19.
    Greatest Common Facter •Alsoknown as GCF •The largest number that divides evenly into two or more numbers. •Used when simplifying fractions
  • 20.
    Least Common Multiple •The least common multiple of the denominators of two or more fractions. • Ex: 4/8 and 5/6 • Multiples of 8: 8, 16, 24, 32, 40, 48, 56 • Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
  • 21.
    • PowerPoint acombination of: – http://www.teacherspayteachers.com/Product/Intro-to-Fractions-PowerPo int-Lesson-506079 And - Mrs. Draper