MATH 6 Intro to Fractions! - PowerPoint PPT Presentation

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MATH 6 Intro to Fractions!

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MATH 6 Intro to Fractions! Anatomy of the fraction... Numerator Denominator Name the different types of fractions The term above the line in a fraction. – PowerPoint PPT presentation

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Title: MATH 6 Intro to Fractions!


1
MATH 6 Intro to Fractions!
  • Anatomy of the fraction...
  • Numerator
  • Denominator
  • Name the different types of fractions
  • The term above the line in a fraction. The
    numerator tells how many parts are being talked
    about or considered.
  • The number below the line in a fraction. The
    denominator indicates what kind or size of parts
    the numerator counts.
  • Improper
  • Proper
  • Mixed Numbers

2
What are Fractions?
  • Name the operation happening between the
    numerator and the denominator in a fraction.
  • Division!
  • Therefore when we name a fraction like 3/4, we
    would say
  • three fourths
  • three out of 4
  • three divided by four
  • 34
  • Three to Four

3
Proper Fractions
  • Proper Fractions
  • Simplifying Proper Fractions
  • Fractions where the numerator is less than the
    denominator
  • The value is less than one.
  • Find the largest number you can divide into BOTH
    numerator and denominator (also known as the
    GCF).

4
Examples of SimplifyingProper Fraction
  • Example 1
  • Simplify 6/8.
  • What is the GCF?
  • Divide both numerator and denominator by the GCF.
  • Answer 3/4

5
Simplifying Proper Fractions
  • Examples 2 and 3
  • Simplify 9/15
  • Simplify 6/20
  • What is your GCF?
  • Divide numerator and denominator by the GCF.
  • Solutions
  • 9/15 3/5
  • 6/20 3/10

6
Examples of SimplifyingProper Fraction
  • Example 2
  • Simplify 12/36
  • What is the GCF?
  • Divide both numerator and denominator by the GCF.
  • Answer 1/3

7
Improper Fractions
  • Improper Fractions
  • Converting Improper Fractions into Mixed Numbers
  • Fractions where the numerator is LARGER THAN the
    denominator.
  • The value is greater than or equal to 1.
  • Divide the numerator by the denominator.
  • The remainder (if there is one) becomes the
    numerator of the mixed number.

8
Converting Improper Fractions into Mixed Numbers
  • Improper Fractions to Mixed Numbers
  • Example 1
  • What kind of fraction is 26/5?
  • Improper fractions in simplest form do NOT have a
    GCF and we can turn them into mixed numbers
  • Divide numerator 26 by denominator 5
  • 26 ? 5 5
  • Remainder is 1
  • Answer 5 1/5

9
Converting Mixed Numbers to Improper Fractions
  • Mixed Number
  • Changing a mixed number into an improper fraction
  • The sum of WHOLE NUMBER and a PROPER FRACTION.
  • 2 3/4 2 3/4
  • 3 1/4 3 1/4
  • Multiply the whole number by the denominator.
  • Add the numerator to this product.
  • Denominator stays the same

10
Converting Mixed Numbers to Improper Fractions
  • Example 1
  • 4 3/4
  • Multiply the whole number by the denominator
  • 4 x 4 16
  • Now, add the numerator to this product and the
    denominator stays the same
  • 16 3 19
  • Answer 19/4

11
Converting Mixed Numbers to Improper Fractions
Examples
  • Example 2
  • 2 4/5
  • Example 3
  • 5 2/7
  • Answer to 2
  • 2 x 5 10
  • 10 4 14
  • 14/5
  • Answer to 3
  • 5 x 7 35
  • 35 2 37
  • 37/7
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