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Comparing and Ordering Fractions

Comparing and Ordering Fractions. Created by Leslie Fenton. Strategy. Make sure the denominators are the same . If the denominators are not the same, then rewrite the fractions using a common denominator. The new fractions should be equivalent to the original fraction.

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Comparing and Ordering Fractions

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  1. Comparing and Ordering Fractions Created by Leslie Fenton

  2. Strategy • Make sure the denominators are the same. • If the denominators are not the same, then rewrite the fractions using a common denominator. • The new fractions should be equivalent to the original fraction. • Compare the numerators.

  3. Writing Equivalent Fractions • One way to find a common denominator is to multiply the two original denominators. 5 3 > 4 6 6 x 4 = 24 20 > 18 x 4 x 6 18 20 24 24

  4. Another way to compare fractions is to find the LCM of both denominators. • LCM: Least Common Multiple (the one number both denominators can divide into with no remainder) • Use the LCM as the new denominator in the equivalent fractions. 7 5 < 9, 18, 27, 36, 45 9 12 12, 24, 36, 48, 60 20 < 21 x 3 x 4 20 21 36 36

  5. Ordering Fractions • Find the LCM of the denominators. • Use the LCM to write equivalent fractions. • Put the fractions in order using the numerators.

  6. Example - Order from Least to Greatest: 3 2 1 5 8 4 x 8 x 5 x 10 15 16 10 40 40 40 8, 16, 24, 32, 40, 48 1/4 < 3/8 < 2/5 5, 10, 15, 20, 25, 30, 35, 40 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

  7. Another Strategy • Use a visual picture to compare a fraction to what you already know • You know where zero, one-half, and one are on a number line • You are also familiar with where one-fourth and three-fourths are on the number line. • Based on a visual picture of a fraction, place it on a number line.

  8. Mental Visual Pictures • Fractions are always parts of a whole • Picture a whole: • Picture what you already know: • Picture the given fraction as compared to what you already know: = 1/2 1/5 … one is less than half of five… so 1/5 would look smaller than the ½ piece

  9. Mental Visual Pictures • Fractions are always parts of a whole • Picture a whole: • Picture what you already know: • Picture the given fraction as compared to what you already know: You can do this… it just takes practice. Our brains are powerful tools we can train to use to our advantage. = 1/2 1/5 … one is less than half of five… so 1/5 would look smaller than the ½ piece

  10. Practice Time • Fraction Faction Cards • Pairs • Fraction Faction Activity • 1-21 • Packet provided

  11. In everything we do, our own thoughts can help us succeed, or they can help us fail. Maintain a positive attitude.Catherine Pulsifer

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