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Fractions

- Day 4

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.

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).

- 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.

You Try

- Reduce to its lowest terms

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.

The figure shows improper fractions and mixed

numbers.

How do you convert mixed numbers to improper

fractions?

Example Convert to Improper Fractions.

How do you convert improper fractions to mixed

numbers?

Example Convert to a mixed number.

Example Convert to a mixed number.

Multiplication of Fractions

- Multiply the numerators and multiply the

denominators together then reduce if necessary.

Examples

Reciprocal

- The reciprocal of any number is 1 divided by that

number. - The product of a number and its reciprocal must

equal 1.

Division of Fractions

- To find the quotient of two fractions, multiply

the first fraction by the reciprocal of the

second fraction.

Addition and Subtraction of Fractions

- Before we can add or subtract fractions, the

fractions must have a lowest common denominator.

Example Evaluate

(No Transcript)

Adding or Subtracting Fractions with Unlike

Denominators

- Use prime factorization to find the LCD for the

denominator. - Example

LCD

Addition Example

Now Reduce!