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. 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

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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

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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).

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Examples of SimplifyingProper Fraction

• Example 1
• Simplify 6/8.

• What is the GCF?
• Divide both numerator and denominator by the GCF.
• Answer 3/4

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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

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Examples of SimplifyingProper Fraction

• Example 2
• Simplify 12/36

• What is the GCF?
• Divide both numerator and denominator by the GCF.
• Answer 1/3

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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.

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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

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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

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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

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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