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## Equivalent Fractions

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**Equivalent Fractions**Raising and Reducing**Pizza**3/4 9/12 6/8**Multiply by 1**• 5 x 1 = • 235 x 1 = • 2/3 x 1 = • a x 1 = 5 235 2/3 a**Raising Fractions**• A man walks into the pizza store and orders a medium pizza. • The clerk asks “ Would you like that cut in 8 pieces or 6?” • The man replied “ Make it 6. I don’t think I can eat 8.”**Raising Fractions**• To raise fractions make the denominator larger. • Multiply numerator and denominator (top and bottom) of the fraction by the same number. • This is the same thing as multiplying by 1.**Raising Fractions**• Multiply numerator and denominator (top and bottom) of the fraction by the same number. • This is the same thing as multiplying by 1.**Rasing Fractions**• Raise 3/8 to 56ths. • Multiply numerator and denominator (top and bottom) of the fraction by the same number.**Rasing Fractions**• Raise 3/8 to 56ths. • Multiply numerator and denominator (top and bottom) of the fraction by the same number.**Reducing Fractions**• Opposite of raising. • Make the denominator smaller. • Divide numerator and denominator by the same number.**Reducing Fractions**• Might take more than one step. • More than one way. • Divide numerator and denominator by the same number.**Reducing Fractions**• Divide numerator and denominator by the same number.**Reducing Fractions**• Divide numerator and denominator by the same number.**Proper and Improper**• An improper fraction has a numerator larger than the denominator. • A proper fration has a numerator smaller than the denominator.**Mixed vs. Improper**• A mixed number has a whole and fraction part. • A mixednumber can be written as an improper and visa versa.**Work this on paper.**• We have 5 full crates of apples and one crate with only7 apples. The full crates contain 30 apples. • How many apples altogether?**Work this on paper.**• We have 5 full crates of apples and one crate with only7 apples. The full crates contain 30 apples. • How many apples altogether? • 157 apples. • How did you get the answer?**Mixed to Improper.**• You multiplied the 5 times 30 and added the 7 • To change a mixed number to improper, multiply the denominator by the whole part and add the numerator. Keep the denominator the same.**Mixed to improper**• Try some.**Mixed to improper**• Try some.**Try this on paper.**• We have 135 pencils and boxes that hold 12 each. • How many full boxes? How many loose pencils? • How did you get your answer?**Try this on paper.**• We have 135 pencils and boxes that hold 12 each. • How many full boxes? 11 How many loose pencils? 3 • How did you get your answer? • Divided 135 by 12. The remainder was the left over. • 135/12 = 11 3/12**Improper to Mixed**• Divide.