Equivalent fractions

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Intros
Lessons
  1. Introduction to Equivalent Fractions
  2. What are equivalent fractions?
  3. What are fractions in lowest terms (simplest form)?
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Examples
Lessons
  1. Equivalent fractions on number lines
    Write the equivalent fractions shown on the number line. Use the equal (=) sign in the answer.
    1. Equivalent Fractions
    2. Equivalent Fractions
  2. Equivalent fractions: fill in the blank
    Write the missing value to make the fractions equal.
    1. 12\large \frac{1}{2} = ?18\large \frac{?}{18}
    2. ?3\large \frac{?}{3} = 1421\large \frac{14}{21}
    3. 14\large \frac{1}{4} = 25?\large \frac{25}{?}
    4. 4?\large \frac{4}{?} = 1620\large \frac{16}{20}
    1. 220\large \frac{2}{20} = ??\large \frac{?}{?}
    2. 70140\large \frac{70}{140} = ??\large \frac{?}{?}
    3. 1624\large \frac{16}{24} = ??\large \frac{?}{?}
    4. 2736\large \frac{27}{36} = ??\large \frac{?}{?}
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Practice
Topic Notes
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In this lesson, we will learn:

  • How to find equivalent fractions using models
  • How to find equivalent fractions using multiplication (and division)
  • How to find fractions in lowest terms (simplest form)

Notes:

  • Equivalent fractions are fractions with the same value even though they look different (top and bottoms are not the same numbers)
    • This can be proven by showing fraction models
    • By using the same whole shape and splitting into different numbers of equal parts, all the shape models have the same proportion of shaded area:
Equivalent Fractions
    • By lining up number lines on top of each other, all the number line models show the dot representing the fractions on the same point along the line
Equivalent Fractions
  • Equivalent fractions have the same value because they take the same fraction (proportion) and multiply BOTH the top and bottom by the same number; the value does not change
Equivalent Fractions
  • Fractions in lowest terms (or simplest form) are the smallest equivalent fraction
    • Divide the top and bottom by the same common factor until you can’t anymore
Equivalent Fractions