Finding Equivalent Fractions Target to write equivalent fractions

Finding Equivalent Fractions Target: to write equivalent fractions for given fractions

�A fraction describes parts of a region, object or set � It has 2 parts: numerator denominator �A mixed number has a whole-number part and a fraction part. � An equivalent fraction names the same part of a region, object or set.

How to Find Equivalent Fractions � Multiply or divide both the numerator and denominator by the same number � Examples:

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Fractions in Simplest Form (lowest terms) � When a fraction is in simplest form, the numerator and denominator have no common factors other than 1. � To change a fraction to its simplest form: ◦ Find the GCF (greatest common factor) ◦ Divide both the numerator and denominator by that factor. � Example:

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Comparing and Ordering Fractions � Like denominators: ◦ Compare the numerators � Unlike denominators: ◦ Find the LCD (least common denominator) ◦ Rewrite the fractions using the LCD ◦ Compare numerators

Adding/Subtracting Fractions � With like denominators: � With unlike denominators: ◦ Add/Subtract the numerators ◦ Denominators stay the same ◦ ◦ Find the LCD Rewrite fractions Add/Subtract numerators Simplify

Changing Mixed Numbers to Improper Fractions and Improper Fractions to Mixed Numbers

Change a Mixed Number to an Improper Fraction 1. 2. 3. Multiply whole number by denominator of the fraction Add the numerator Put the sum over the given denominator

Change an Improper Fraction to a Mixed Number 1. 2. 3. 4. 5. Divide the numerator by the denominator The whole number becomes the whole number part of the mixed number The remainder becomes the numerator Denominator stays the same Simplify!

Subtracting from Whole Numbers

To Subtract a Fraction from a Whole Number: 1. Rewrite the whole number as a mixed number (fractions should have the same denominators) 2. Then subtract

Adding and Subtracting Mixed Numbers

Adding/Subtract Mixed Numbers When the denominators are the same: 1. 2. 3. Add/Subtract the fractions Add/Subtract the whole numbers Simplify

Adding/Subtracting Mixed Numbers When the denominators are different: 1. Find the LCD of the fractions and rewrite as equivalent fractions 2. Add/Subtract the fractions 3. Add/Subtract the whole numbers 4. Simplify

Subtracting Mixed Numbers With like denominators: 1. Subtract the fractions 2. Subtract the whole numbers 3. Simplify

Subtracting Mixed Numbers When the denominators are different: 1. Find the LCD and rewrite fractions as equivalent fractions 2. Subtract fractions 3. Subtract whole numbers 4. Simplify