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# 2 1/2 + 4 2/3

### 3 Answers by Expert Tutors

Jorge A H. | Patient Math: Pre Algebra-Geometry- Spanish Tutor (Engineering too).Patient Math: Pre Algebra-Geometry- Span...
2.0 2.0 (1 lesson ratings) (1)
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TO ADD MIXED NUMBERS YOU HAVE TO CONVERT THE MIXED TO IMPROPER FRACTIONS:

2 1/2 = 2X2+1=NUMERATOR=5 AND KEEP THE DENOMINATOR SO YOU HAVE:         5/2=2 1/2
SAME WAY 4 2/3- 4X3+2=14 NUMERATOR SO WE HAVE THE IMPROPER FRACTION   14/3=4 2/3

NOW YOU HAVE 5/2+14/3
YOU HAVE TO FIND THE L C D (LEAST COMMON DENOMINATOR) FOR 2 AND 3 THAT IS EQUAL TO 6 SO YOU
HAVE TO CONVERT THE FRACTIONS TO DENOMINATOR 6:

HOW? DIVIDING 6/2=3 SO YOU HAVE TO MULTIPLY 3 TIMES THE NUMERATOR THAT IS 3X5=15 SO 5/2=15/6

WE ARE DIVIDING THE L C D BY DENOMINATORS TO GET THE NUMERATOR OF THE FRACTIONS

6/3=2 YOU ARE TO MULTIPLY 2X14=28 SO, YOU HAVE 28/6...  .................................

RESUMING: 2 1/2 + 4 /2/3 = 5/2+14/3=15/6+28/6=   43/6  = ANSWER BUT YOU HAVE TO SHOW IT IN MIXED NUMBER SO YOU HAVE TO DIVIDE:

...............................
DON'T TO THE FATAL MISTAKE TO ADD SEPARATE THE WHOLE PART  BECAUSE, YOU WILL HAVE TO LEARN HOW TO DO THE JOB IN DIFFERENT WAY, WHEN YOU ARE SUBTRACTING FOR EXAMPLE:

(3 2/5 -2 2/3)............NEVER SUBTRACT THE WHOLE PART... IF YOU DO THAT YOU HAVE TO SUBTRACT THE FRACTION TO THE WHOLE PART AGAIN LIKE THE BEGINING.

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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2 1/2  + 4  2/3  =

You know that 2 1/2 = 2 + 1/2

2 1/2 + 4 2/3 = 6 + 1/ 2 + 2/3  = 6 + 3/6 + 4/ 6= 4 7/6 = 5 1/6

Always add whole numbers separately, and fractions separate.

Don't convert  them to mixed numbers.
Tiffany K. | EXPERIENCED Certified teacher here to help. Tutor for all agesEXPERIENCED Certified teacher here to he...
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need to first make it an improper fraction or make out a diagram with 2 full circles plus 4 full circles which = 6. So you are then really only adding 1/2+2/3 you need to then find the lowest common denominator being... "6" so you now can add 3/6+4/6=7/6 (improper fraction) giving you another full circle and leaving you with 1/6.  Giving you the answer of .... 7 1/6