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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
• Before we can add or subtract fractions, the
fractions must have a lowest common denominator.

18
Example Evaluate
19
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20
Adding or Subtracting Fractions with Unlike
Denominators
• Use prime factorization to find the LCD for the
denominator.
• Example

LCD
21