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This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
This article has been viewed 3,561 times.
Fractional subtraction can look a bit confusing at first, but with some basic multiplication and division you should get simple subtraction. If the fractions are less than 1, make sure their denominators are the same before subtracting the numerators. If there are mixed numbers and whole numbers, convert them to fractions greater than 1. You also need to make sure the denominators are the same before subtracting the numerators.
Steps
Find the least common multiple and subtract
- Since multiples of 4 include 4, 8, 12, 16, 20, and multiples of 5 include 5, 10, 15, and 20, 20 is their least common multiple.
- If the denominators are already the same, you can skip to subtract the numerators.
- For example, multiply 1/4 by 5 to get a denominator of 20. You also need to multiply the numerator by 5, so 1/4 becomes 5/20.
- For example, if you adjusted 1/4 to become 5/20, multiply 1/5 by 4 to get 4/20. The original 1/4 – 1/5 problem becomes 5/20 – 4/20.
- Remember not to subtract the denominators.
- For example, 5/20 – 4/20 = 1/20.
- Depending on the result, you may not be able to further shorten it. For example, 1/20 cannot be reduced any further.
Subtract mixed numbers
- For example, 2 3/4 – 1 1/7 would be 11/4 – 8/7.
- Since multiples of 4 include 4, 8, 12, 16, 20, 24, 28 and multiples of 7 include 7, 14, 21, and 28, then 28 is their least common multiple.
- For example, for the denominator of 11/4 to become 28, you need to multiply the whole fraction by 7. The fraction becomes 77/28.
- For example, if you adjusted 11/4 to 77/28, multiply 8/7 by 4 to get 32/28. The problem 11/4 – 8/7 becomes 77/28 – 32/28.
- For example, 77/28 – 32/28 = 45/28.
- For example, 45/28 becomes 1 17/28 because 45 divided by 28 gives 1 remainder 17.
Advice
- If you want, you can calculate mixed numbers without having to convert to fractions greater than 1. Subtract the whole numbers and then subtract the numerator if the fractions have the same denominator.
This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
This article has been viewed 3,561 times.
Fractional subtraction can look a bit confusing at first, but with some basic multiplication and division you should get simple subtraction. If the fractions are less than 1, make sure their denominators are the same before subtracting the numerators. If there are mixed numbers and whole numbers, convert them to fractions greater than 1. You also need to make sure the denominators are the same before subtracting the numerators.
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