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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:

43/6 = 7 1/6 ANSWER

...............................

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...

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.

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