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Mathematics 2 Ms. Meek Comparing Fractions

Mathematics 2 Ms. Meek Comparing Fractions. Review: Parts of a Whole. Fractions are part of a whole number. On a number line, if an arrow is pointing at a number located between two whole numbers, that is a fraction. ^. Parts of a Whole. Fractions are part of a whole number.

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Mathematics 2 Ms. Meek Comparing Fractions

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  1. Mathematics 2Ms. Meek Comparing Fractions

  2. Review: Parts of a Whole Fractions are part of a whole number. On a number line, if an arrow is pointing at a number located between two whole numbers, that is a fraction. ^

  3. Parts of a Whole Fractions are part of a whole number. If only part of a group is participating in an activity or is represented, that part of the whole group is a fraction. The money left over from a whole dollar, the change, is also a fraction. It is part of a whole dollar.

  4. Writing Fractions One way to write fractions numerically, is with a fraction bar. If there are 12 boys in a classroom with 25 students, 12 out of 25 kids are boys. The boys are a fraction of the group. We can write that this way: 12 25

  5. Fraction Vocabulary 12  numerator 25denomiator The numerator is the number on top. It represents the part of the whole group. The denominator is the bottom number. It represents the whole group. The numerator should always be smaller than the denominator.

  6. Modeling Fractions Fractions are often easier to understand through models with pictures. We can look at the parts of the whole that are shaded or un-shaded. Each part of the whole represents a fraction.

  7. Modeling Fractions

  8. Modeling fractions What fraction of the shaded pieces is represented by the model? 4 6

  9. Modeling fractions What fraction of the un-shaded pieces is represented by the model? 1 3

  10. Review: Comparing Numbers Vocabulary: greater than >less than <equal = Both parts of the fraction need to be considered when comparing.

  11. Comparing Fractions The denominator, or bottom of the fraction, indicates the total number of parts there are in the whole. The larger denominator, the more pieces. The more pieces the whole is broken into, the smaller the fraction.

  12. Comparing Fractions The numerator, or the top, tells us how many pieces of the whole we are considering. The larger numerator, the larger the fraction.

  13. Comparing Fractions 11 6 3

  14. In the the fraction 1/3 , 1 piece of 3 total are shaded. In the fraction 1/6 , 1 piece of 6 total are shaded. To answer your question about which fraction is larger, you just need to look at both pies, and decide which one has more shading. The pie with the most shading represents the larger fraction.

  15. Comparing Fractions < 11 6 3

  16. Comparing Fractions WithUnlike Denominators & Numerators 2 3 4 8

  17. To determine which fraction is larger, you just need to look at both pies, and decide which one has more shading. The pie with the most shading represents the larger fraction. In this case, the pie showing 2/4 has more shading than the pie showing 3/8. This means that 2/4 is larger than 3/8.

  18. Comparing Fractions WithUnlike Denominators & Numerators > 2 3 4 8

  19. Practice 3 ? 2 4 6 >

  20. Conclusion When comparing fractions, we need to look at both parts of the fraction. The denominator tells us the total number of parts in the whole. The larger denominator, the smaller the fraction. The numerator tells us how many pieces of the whole. The larger numerator, the bigger the fraction. Pictures help us compare as well.

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