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Fractions

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Fractions. Simplest Form. Equivalent Fractions. There can be more than one fraction that represents the same value. ... test works with this fraction. ... – PowerPoint PPT presentation

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Title: Fractions

1
Fractions
• Simplest Form

2
Equivalent Fractions
• There can be more than one fraction that
represents the same value.
• 2/3 4/6 8/12

3
Fractions in Simplest Form
• A fraction is in simplest form when it can no
longer be reduced,
• or
• its numerator and denominator have the greatest
common factor of 1.

4
Reducing Fractions
• One strategy to use for reducing fractions is to
use the divisibility tests.
• If the numerator and denominator both pass the
same divisibility test, then it can be reduced by
that number.

5
Divisibility Tests
• 2 Is the number an even number ?
• 3 Do all the digits add up to a number
divisible by 3 ?
• 4 Is the number made by the last two digits
divisible by 4 ?
• 5 Is the ones digit a 5 or 0 ?
• 6 Is the number even and divisible by 3 ?
• 9 Do all the digits add up to a number
divisible by 9 ?
• 10 Is the ones digit a 0 ?

6
Divisibility Test Method
• 14/16

The numerator and denominator are both even
numbers.
7/8
So it can be reduced by 2
The numerator and denominator both pass the 3
divisibility test.
9/21
3/7
So it can be reduced by 3
7
Divisibility Tests Cont.
• Sometimes you may have to use the divisibility
test more than one time to get to the simplest
form of the fraction.

27/36
The 3 divisibility test works with this fraction.
9/12
The 3 divisibility test will work again on this
fraction.
3/4
8
Factoring Method
• Find and list all the factors for the numerator.
• Find and list all the factors for the
denominator.
• Identify what the Greatest Common Factor is.
• Divide both the numerator and denominator by this
Greatest Common Factor.

9
Factoring Method Cont.
• 12/18

Factors of 18 1 x 18 2 x 9 3 x 6 6 x 3 1
, 2 , 3 , 6 , 18
Factors of 12 1 x 12 2 x 6 3 x 4 4 x 3 1
, 2 , 3 , 4 , 6 , 12
12 6
2
or 2/3
18 6
3