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Fractions Day 4

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**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.

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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).

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**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.

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You Try… Reduce to its lowest terms

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**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.

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**The figure shows improper fractions and mixed numbers….**

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**How do you convert mixed numbers to improper fractions?**

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**Example: Convert to Improper Fractions.**

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**How do you convert improper fractions to mixed numbers?**

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**Example: Convert to a mixed number.**

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**Example: Convert to a mixed number.**

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**Multiplication of Fractions**

Multiply the numerators and multiply the denominators together then reduce if necessary.

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Examples

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**Reciprocal The reciprocal of any number is 1 divided by that number.**

The product of a number and its reciprocal must equal 1.

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Division of Fractions To find the quotient of two fractions, multiply the first fraction by the reciprocal of the second fraction.

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**Addition and Subtraction of Fractions**

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

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Example: Evaluate

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**Adding or Subtracting Fractions with Unlike Denominators**

Use prime factorization to find the LCD for the denominator. Example: LCD

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Addition Example Now Reduce!

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