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## Fractions are a Piece of Cake

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**Fractions are a Piece of Cake**By: Emily Alford**What Learning Objective Applies?**• Fifth Grade Curriculum Expectations • Mathematics • Read write, compare, and order fractions • Change mixed numbers to improper fractions and vise versa**This is Slice.**He will be your guide throughout this slideshow. He is an expert with all kinds of fractions and along the way, he will give you some important tips (written in bold) to keep in mind. So guys, are you ready? 6/5 8/8 2/7 3 1/4 2 1/2 5/2 1/1 7/8 7 1/3 5/11 3/2**The word fraction means “part of a whole.” The word**comes from the Latin word fractio, meaning “to break into pieces.” In math, a fraction means one or more parts of a whole or set. A fraction has two parts, a denominator and a numerator. The denominator is the numeral written under the bar and tells the number of parts a while is divided into. The numerator is the numeral written above the bar. The numerator tells the number of parts of the whole that are being counted. Numerator Number of Parts Counted 1 -------------- ---------------------------------- --- Denominator Total Parts of the Whole or Set 25 Fractions This necklace is made up of beads. Each bead is a member of the “set,” or necklace. Since 25 beads make up this necklace, each bead is 1 pat of the 25 total necklace parts or 1/25.**When the numerator of a fraction is less than the**denominator, the fraction is called a proper fraction. The value of a proper fraction is ALWAYS less than one. Proper Fractions 1 --2 2 --5 3 --8 4 --9 5 --11 Improper Fractions When the numerator of a fraction is greater than or equal to the denominator, the fraction is called a improper fraction. 3 --2 5 --4 6 --5 7 --6 8 --8 The value of an improper fraction is always greater than or equal to one.**Slice Says:**Fractions were used about 5,000 years ago in Babylon to keep count of the king’s grain supplies. Instead of writing on paper, the Babylonian accountants etched the fractions into soft clay. The clay later hardened into stone. On the tablets, modern scientists have found this symbol, which means half full.**Mixed Numerals**Mixed Numerals combine whole numbers and fractions. The values of mixed numerals can also be written as improper fractions. To write a mixed numeral as an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator. Use your answer as the new numerator and keep the original denominator. 1 --2 (2 x 1) + 1 ------------------- 2 3 --2 3 --4 (2 x 4) + 3 ------------------- 4 11 --4 1 = = 2 = = When converting mixed numbers, remember this little tune: “The bottom times the whole, plys the top!” To change an improper fraction to a mixed numeral, divide the numerator by the denominator. Then place the remainder over the old denominator. 3 --2 1 --2 11 --4 3 --4 = 3 ∕ 2 = 1 R1 = 1 = 11 ∕ 4 = 2 R3 = 2**Common Denominators**Many fractions have common denominators. That means the numbers in their denominators are the same. 1 --2 3 --2 5 --2 To find common denominators… 1. Find the least common multiple for the denominators of the fractions you are comparing. Compare: 1 --2 2 --3 Answer: least common multiple is 6 and 2. Divide the common multiple by the denominators. To reduce a fraction to its lowest terms, divide both the numerator and the denominator by their greatest common denominator. 6 / 2 = 3 6 / 3 = 2 3. Multiply the quotients by the old numerators to calculate the new numerators. 3 x 1 = 3 2 x 2 = 4 4. Place the new numerators over the common denominator. 3 --6 4 --6**You’ve learned so much already! Let’s do a recap!**Proper Fractions Improper Fractions Mixed Numerals Common Denominators**See ‘Ya Later**• Thanks for going on this fraction adventure with me! I really enjoyed it and hope that you learned a lot! Look at the “Fraction Practice Sheet on the next slide for more practice! I’ll see you later when we learn about • Adding Fractions • Subtracting Fractions • Multiplying Fractions • Dividing Fractions**Fraction Practice Worksheet**• Fill in the question marks with the names of the numerals that go above and below the fraction bar. • Which one of these is NOT a proper fraction? • When the numerator of a fraction is ____________ than or equal to the denominator, the fraction is called an improper fraction. • What key term combines whole numbers and fractions? • Find the least common multiple (denominator) for these fractions. ? -- ? Numerator -------------- Denominator 1 --2 2 --5 3 --8 4 --9 5 --4 6 --10 greater Mixed numeral 3 --4 6 --12 1 --2 2 --3 1 --6 2 --3 and 12 and 6 and 6