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For more information, please see full course syllabus of Pre Algebra
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Lecture Comments (1)

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Post by TAHA sakor on November 10, 2014

Find dismal

Equivalent Fractions

  • Equivalent fractions are fractions that name the same amount. In order to create equivalent fractions, multiply or divide both the numerator and denominator by the same nonzero number.
  • A fraction is in simplest form when the only common factor of the numerator and denominator is 1.
  • In order to find the simplest form of a fraction, divide the numerator and denominator by their Greatest Common Divisor. You can find the GCD by listing factors or by using prime factorization.

Equivalent Fractions

Write − [72/90] in simplest form.
  • − [(72÷9)/(90÷9)] = − [8/10]
  • − [(8 ÷2)/(10 ÷2)] = − [4/5]
− [4/5]
Write [56/64] in simplest form.
  • [(56÷8)/(64÷8)] = [7/8]
[7/8]
Write [70/90] in simplest form.
  • [(70÷10)/(90÷10)] = [7/9]
[7/9]
Write [180/360] in simplest form.
  • [(180÷10)/(360÷10)] = [18/36]
  • [(18÷6)/(36÷6)] = [3/6]
  • [(3÷3)/(6÷3)] = [1/2]
[1/2]
Are [44/110] and [6/30] equivalent fractions?
  • [(44÷11)/(110÷11)] = [4/10]
  • [(4÷2)/(10÷2)] = [2/5]
  • [(6÷6)/(30÷6)] = [1/5]
No
Are [6/8] and [12/16] equivalent fractions?
  • [(6 ÷2)/(8 ÷2)] = [3/4]
  • [(12 ÷4)/(16 ÷4)] = [3/4]
Yes
Are [14/21] and [8/20] equivalent fractions?
  • [(14 ÷7)/(21÷7)] = [2/3]
  • [(8 ÷4)/(20÷4)] = [2/5]
No
Write two equivalent fractions of [3/7].
  • [(3 ×2)/(7 ×2)] = [6/14]
  • [(3 ×3)/(7 ×3)] = [9/21]
[6/14], [9/21], There are multiple answers
18 of the 30 students in Mr. Lewis' classroom are girls. What fraction of the students are girls, in simplest form?
  • Numerator represents the part, denominator represents the whole
  • [(18  girls)/(30 students)] =
  • [(18 ÷6  girls)/(30 ÷6  students)] =
  • [(3 girls)/(5 students)]
[3/5]
56 out of 80 apples are green. What fraction of the apples are green, in simplest form?
  • [(56  green apples)/(80  apples)] =
  • [(56 ÷8  green apples)/(80 ÷8  apples)] =
  • [(7  green apples)/(10  green apples)]
[7/10]

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

Equivalent Fractions

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • What You'll Learn and Why 0:05
    • Topics Overview
  • Vocabulary 0:21
    • Equivalent Fractions
    • Simplest Form
  • Creating Equivalent Fractions 1:59
    • Method to Create Equivalent Fractions
  • Equivalent Fractions 2:18
    • Write Two Fractions Equivalent to 5/8
    • Write Two Fractions Equivalent to 2/14
  • GCD to Simplify 3:51
    • Find the GCD of 24 and 32
    • Write 24/32 in Simplest Form
    • Write -27/45 in Simplest Form
  • Writing a Fraction 6:04
    • Example: What Fraction of the Vehicles are Trucks?
  • Writing a Fraction 7:45
    • Example: What Fraction of the Seats are Empty?
  • Extra Example 1: Pizza 9:00
  • Extra Example 2: Driving Time 9:28
  • Extra Example 3: Simplest Form 10:29
  • Extra Example 4: Basketball Team 10:52