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Fractions

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Fractions Day 4 Fractions Numbers such as and - are called fractions. The number above the fraction line is called the numerator. The number below the fraction ... – PowerPoint PPT presentation

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Title: Fractions


1
Fractions
  • Day 4

2
Fractions
  • Numbers such as ½ and -¾ are called fractions.
  • The number above the fraction line is called the
    numerator.
  • The number below the fraction line is called the
    denominator.

3
Reducing Fractions
  • When both the numerator and denominator have a
    common divisor, we can reduce the fraction to its
    lowest terms.
  • A fraction is said to be in its lowest terms (or
    reduced) when the numerator and denominator are
    relatively prime (have no common divisors other
    than 1).

4
  • To reduce a fraction to its lowest terms, divide
    both the numerator and the denominator by the
    GCD.
  • The fraction 6/10 is reduced to its lowest terms
    as follows.

5
You Try
  • Reduce to its lowest terms

6
Mixed Numbers and Improper Fractions
  • The number 2¾ is an example of a mixed number.
    It is called a mixed number because it is made up
    of an integer and a fraction.
  • 2¾ means 2 ¾
  • An improper fraction is a fraction whose
    numerator is greater than its denominator.

7
The figure shows improper fractions and mixed
numbers.
8
How do you convert mixed numbers to improper
fractions?
9
Example Convert to Improper Fractions.
10
How do you convert improper fractions to mixed
numbers?
11
Example Convert to a mixed number.
12
Example Convert to a mixed number.
13
Multiplication of Fractions
  • Multiply the numerators and multiply the
    denominators together then reduce if necessary.

14
Examples
15
Reciprocal
  • The reciprocal of any number is 1 divided by that
    number.
  • The product of a number and its reciprocal must
    equal 1.

16
Division of Fractions
  • To find the quotient of two fractions, multiply
    the first fraction by the reciprocal of the
    second fraction.

17
Addition and Subtraction of Fractions
  • Before we can add or subtract fractions, the
    fractions must have a lowest common denominator.

18
Example Evaluate
19
(No Transcript)
20
Adding or Subtracting Fractions with Unlike
Denominators
  • Use prime factorization to find the LCD for the
    denominator.
  • Example

LCD
21
Addition Example
Now Reduce!
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