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Finding 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 d enominator A mixed number has a whole-number part and a fraction part.

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Finding Equivalent Fractions

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

  2. A fractiondescribes 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.

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

  4. You Try! Miss Biggdecides to bake a cake for the best math section. The only problem is the recipe calls for ¾ cup of flour and ½ cup of sugar, and she only has ¼ cup measuring cup. What can she do??

  5. 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:

  6. You Try!

  7. 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

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

  9. Changing Mixed Numbers to Improper Fractions and Improper Fractions to Mixed Numbers

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

  11. Change an Improper Fraction to a Mixed Number • 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!

  12. Subtracting from Whole Numbers

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

  14. Adding and Subtracting Mixed Numbers

  15. Adding/Subtract Mixed Numbers When the denominators are the same: • Add/Subtract the fractions • Add/Subtract the whole numbers • Simplify

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

  17. Subtracting Mixed Numbers With like denominators: • Subtract the fractions • Subtract the whole numbers • Simplify

  18. Subtracting Mixed Numbers When the denominators are different: • Find the LCD and rewrite fractions as equivalent fractions • Subtract fractions • Subtract whole numbers • Simplify

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