Q&A for How to Find Equivalent Fractions

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  • Question
    How can I use multiplication to find equivalent fractions?
    David Jia
    Academic Tutor
    David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
    Academic Tutor
    Expert Answer
    Multiply the top number and bottom number by the same value to find a fraction that's equivalent to the original.
  • Question
    How do I draw a picture to show that 1/3 is equivalent to 2/6?
    Donagan
    Top Answerer
    An easy way is to draw a circle graph. Divide the circle into sixths. Each sixth of the circle would have a central angle of 60°. Then show (perhaps with the use of color) that two adjacent sixths combine to make one-third of the circle (with a central angle of 120°).
  • Question
    What is equivalent to 4 and 2/14?
    Donagan
    Top Answerer
    For easier computation, convert 2/14 to 1/7. So the mixed number is 4 1/7. If you want to convert that number to an improper fraction, keep the denominator the same. For the new numerator, multiply the whole number by the denominator and add the old numerator. In this example, multiply 4 by 7 to get 28, then add 1 to get a numerator of 29. The denominator is 7.
  • Question
    Why do I need to know how to find equivalent fractions?
    Donagan
    Top Answerer
    It is a step commonly taken while solving all sorts of math problems.
  • Question
    What would 4 be with denominator of 2?
    Donagan
    Top Answerer
    4 = 8/2.
  • Question
    What fraction is equal to two fifths?
    Donagan
    Top Answerer
    Multiply both the numerator and the denominator by the same integer (other than 1). That gives you a fraction equal to 2/5. For example, you could multiply both the numerator and the denominator by 6, so that 2/5 is equal to 12/30.
  • Question
    How can I find the equivalent of 1 3/4?
    Community Answer
    If you mean an improper fraction: Find the number of quarters in 1 (4) and add them to the number of quarters in 3/4 (3). 4+3 = 7, so the answer is 7/4.
  • Question
    What is an equivalent number for 5 and 7/10?
    Danoyachtcapt
    Top Answerer
    You divide 7 by 10 = .7 then add 5 = 5.7
  • Question
    What's the equivalent fraction of 5/6?
    Donagan
    Top Answerer
    Get an equivalent fraction by multiplying both the numerator and the denominator by the same number. Two examples: Multiply both 5 and 6 by 4: 20/24 = 5/6; multiply both 5 and 6 by 9: 45/54 = 5/6.
  • Question
    What are equivalent fraction of -5/9?
    Community Answer
    Multiply both the numerator and the denominator by the same integer (any whole number). That will give you an equivalent fraction. For example, multiply both -5 and 9 by 3: that forms a new fraction, -15/27.
  • Question
    What would be 8 with the denominator as 4?
    Community Answer
    It would be 32/4. (8 x 4 = 32.)
  • Question
    What if it's a whole number?
    Donagan
    Top Answerer
    A whole number can be converted to an equivalent fraction by making the whole number the numerator and using 1 as the denominator. You can then, if desired, multiply both numerator and denominator by the same number to create another equivalent fraction.
  • Question
    What are equivalent fractions for 3/3 and 6/6?
    Donagan
    Top Answerer
    Both of those fractions are equivalent to the whole number 1. Any fraction whose numerator and denominator are identical to each other (or have the same value) is equal to 1 and would be equivalent to the two fractions given above.
  • Question
    How do I find 25/75?
    Community Answer
    Divide both numerator and denominator by 25. That leaves 1 in the numerator and 3 in the denominator. 25/75 = 1/3.
  • Question
    What is equivalent fraction: 2/8=12/ ?
    Community Answer
    2/8 = 12/x. Cross-multiply: (2)(x) = (8)(12). So 2x = 96, and x = 48. Therefore, 2/8 = 12/48.
  • Question
    What is a fraction equivalent to 56/80?
    Community Answer
    56/80 reduces to 7/10. (You divide both numerator and denominator by 8.)
  • Question
    What is a fraction equivalent to 6/12?
    Community Answer
    1/2 or any fraction equal to 1/2, such as 2/4, 3/6, 4/8 or 5/10.
  • Question
    What is the equivalent fraction of 15/30?
    Community Answer
    There are many fractions equivalent to 15/30. Among them: 1/2, 2/4,3/6, 4/8, etc.
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