Equivalent fractions

Equivalent fractions

Lessons

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
  • Introduction
    Introduction to Equivalent Fractions
    a)
    What are equivalent fractions?

    b)
    What are fractions in lowest terms (simplest form)?


  • 1.
    Equivalent fractions on number lines
    Write the equivalent fractions shown on the number line. Use the equal (=) sign in the answer.
    a)
    Equivalent Fractions

    b)
    Equivalent Fractions


  • 2.
    Equivalent fractions: fill in the blank
    Write the missing value to make the fractions equal.
    a)
    12\large \frac{1}{2} = ?18\large \frac{?}{18}

    b)
    ?3\large \frac{?}{3} = 1421\large \frac{14}{21}

    c)
    14\large \frac{1}{4} = 25?\large \frac{25}{?}

    d)
    4?\large \frac{4}{?} = 1620\large \frac{16}{20}


  • 3.
    a)
    220\large \frac{2}{20} = ??\large \frac{?}{?}

    b)
    70140\large \frac{70}{140} = ??\large \frac{?}{?}

    c)
    1624\large \frac{16}{24} = ??\large \frac{?}{?}

    d)
    2736\large \frac{27}{36} = ??\large \frac{?}{?}