Review:

Ratios and Fractions!

Rational Numbers

Rational numbers:

• Are any number that can be represented as a fraction
• Include all integers

Examples:

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Adding or Subtracting Fractions

A fraction is composed of 2 pieces:

• The top is the numerator numerator
• The bottom is the denominator denominator

If we want to add or subtract fractions we must have the same denominator

Examples:

Adding or Subtracting Fractions

Finding a Common Denominator:

Easy way - Multiply the numerator and denominator of one fraction by the denominator of the other:

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Adding or Subtracting Fractions

Now we can add the numerators (tops):

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Remember: Never change the denominator (bottom) when adding or subtracting.

Adding or Subtracting Fractions

Example:

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Notice that we have a mixed fraction now.

First we must convert to an improper fraction.

Next we find a common denominator.

Finally, we subtract the numerators to find our final answer.

Multiplying Fractions

When multiplying fractions, we simply multiply the numerator by the numerator and denominator by denominator:

3

4

6

2

24

6

And we should always reduce our fractions fully.

24

6

4

1

Dividing Fractions

When dividing a fraction find the reciprocal of the divisor (the second fraction) and multiply.

2

5

2

3

15

4

2

5

3

2

Homework

Mixed Problems with Fractions Worksheet