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## PowerPoint Slideshow about ' RATIONAL NUMBERS' - vaughan

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### RATIONAL NUMBERS

Fractions

INTEGERS

- WHAT IS AN INTEGER?
- The integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero.

RATIONAL NUMBERS

- WHAT IS A RATIONAL NUMBER?
- In mathematics, a rational number (commonly called a fraction) is a ratio or quotient of two integers, usually written as a fractiona/b, where b is not zero.

RATIONAL NUMBERS

- WHAT IS A RATIONAL NUMBER?
- In mathematics, a rational number (commonly called a fraction) is a ratio or quotient of two integers, usually written as a fractiona/b, where b is not zero.
- EXAMPLES:
- , 0.25, , -0.125

1

4

-5

4

ADDING FRACTIONS

- To add two fractions with the samedenominator, add the numerators and place that sum over the common denominator
- EXAMPLE:

3

5

1

5

4

5

+

=

ADDING FRACTIONS

- To Add Fractions with different denominators:
- Find the Least Common Denominator (LCD) of the fractions
- Rename the fractions to have the LCD
- Add the numerators of the fractions
- Simplify the Fraction

Adding Fractions

- To make the denominator of the first fraction 12, multiply both the numerator and denominator by 3.

1

4

1

3

x3

?

+

=

x3

?

12

+

=

Adding Fractions

- To make the denominator of the second fraction 12, multiply both the numerator and denominator by 4.

1

4

1

3

x4

?

+

=

x4

3

12

?

12

+

=

Adding Fractions

- To make the denominator of the second fraction 12, multiply both the numerator and denominator by 4.

1

4

1

3

x4

?

+

=

x4

3

12

4

12

+

=

SUBTRACTING FRACTIONS

- To Subtract Fractions with different denominators:
- Find the Lowest Common Denominator (LCD) of the fractions
- Rename the fractions to have the LCD
- Subtract the numerators of the fractions
- The difference will be the numerator and the LCD will be the denominator of the answer.
- Simplify the Fraction

MULTIPLYING FRACTIONS

- To Multiply Fractions:
- Multiply the numerators of the fractions
- Multiply the denominators of the fractions
- Place the product of the numerators over the product of the denominators
- Simplify the Fraction

DIVIDING FRACTIONS

- To Divide Fractions:
- Multiply the reciprocal of the second term ( fraction)
- Multiply the numerators of the fractions
- Multiply the denominators of the fractions
- Place the product of the numerators over the product of the denominators
- Simplify the Fraction

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