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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 55,025 times.
The calculation of whole numbers minus fractions is not as difficult as you think. There are two main methods of doing this: either you convert the integer to a fraction, or subtract the integer by 1 and convert the 1 to a fraction with the same denominator as the fraction you are subtracting. After you have two fractions with the same denominator, you can start subtracting. Both ways will help you to subtract integers from fractions faster and easier.
Steps
Subtract an integer from a fraction
- For example: 8−45{displaystyle 8-{frac {4}{5}}}
- =8first−45{displaystyle ={frac {8}{1}}-{frac {4}{5}}}
- 8first−45{displaystyle {frac {8}{1}}-{frac {4}{5}}}
- =8∗5first∗5−45{displaystyle ={frac {8*5}{1*5}}-{frac {4}{5}}}
- =405−45{displaystyle ={frac {40}{5}}-{frac {4}{5}}}
- 405−45{displaystyle {frac {40}{5}}-{frac {4}{5}}}
- =40−45{displaystyle ={frac {40-4}{5}}}
- =365{displaystyle {frac {36}{5}}}
- Example: Write365{displaystyle {frac {36}{5}}} into a mixed number.
- How many times 5 is close to 36? 5 x 7 = 35, so the integer part will be 7 .
- What about the rest? The integer part is equivalent to355{displaystyle {frac {35}{5}}} , So365{displaystyle {frac {36}{5}}} –355{displaystyle {frac {35}{5}}} = first5{displaystyle {frac {1}{5}}}
- Combining integers and fractions, we get:365{displaystyle {frac {36}{5}}} =7first5{displaystyle 7{frac {1}{5}}}
Other methods
- For example: 11−43{displaystyle 11-{frac {4}{3}}}
- =11−firstfirst3{displaystyle =11-1{frac {1}{3}}}
- =ten−first3{displaystyle =10-{frac {1}{3}}}
- ten−first3{displaystyle 10-{frac {1}{3}}}
- =9+first−first3{displaystyle =9+1-{frac {1}{3}}}
- =9+first−first3{displaystyle =9+1-{frac {1}{3}}}
- =9+firstfirst−first3{displaystyle =9+{frac {1}{1}}-{frac {1}{3}}}
- =9+first∗3first∗3−first3{displaystyle =9+{frac {1*3}{1*3}}-{frac {1}{3}}}
- =9+33−first3{displaystyle =9+{frac {3}{3}}-{frac {1}{3}}}
- =9+3−first3{displaystyle =9+{frac {3-1}{3}}}
- =9+23{displaystyle =9+{frac {2}{3}}}
- =923{displaystyle =9{frac {2}{3}}}
Things you need
- Pencil
- Paper
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 55,025 times.
The calculation of whole numbers minus fractions is not as difficult as you think. There are two main methods of doing this: either you convert the integer to a fraction, or subtract the integer by 1 and convert the 1 to a fraction with the same denominator as the fraction you are subtracting. After you have two fractions with the same denominator, you can start subtracting. Both ways will help you to subtract integers from fractions faster and easier.
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