Homework Help

22 1/2 + 15 2/3 + 18 3/5 equals?

user profile pic

raidon54 | Student, Grade 9 | eNotes Newbie

Posted November 7, 2008 at 3:47 AM via web

dislike 3 like

22 1/2 + 15 2/3 + 18 3/5 equals?

9 Answers | Add Yours

user profile pic

lynn30k | High School Teacher | (Level 3) Associate Educator

Posted November 7, 2008 at 6:52 AM (Answer #2)

dislike 2 like

Be careful not to put numbers in the numerator that shouldn't be there.  30 should indeed be the new denominator; you then have 1/2 = 15/30, 2/3 =20/30, and 3/5 =18/30.  Adding the fractions, you get 53/30, or 1 & 23/30.

The whole numbers 22+15+18= 55.  Add the 1 23/30, and the answer is 56  23/30

user profile pic

vinnysmom | Elementary School Teacher | eNotes Newbie

Posted November 7, 2008 at 11:19 AM (Answer #3)

dislike 1 like

When you add fractions, you need to start with making sure your denominators all work together. A common denominator for 1/2, 2/3, and 3/5 would be 30, so your new numbers would be 22 15/30 + 15 20/30 and 18 18/30. When you add the fractional parts together, you get 55 and 53/30. The fraction can be reduced to 1 and 23/30. So, you add that to the other part and you get 56 23/30.  Hope that helps. :-) 

user profile pic

dracomath | Student, Grade 11 | Honors

Posted December 28, 2008 at 1:13 AM (Answer #4)

dislike 0 like

When adding fractions, you must make all denominators equal.  Otherwise, the result is incorrect.  Add the whole numbers and numerators after finding the LCD which is 30.

 22 1/2 + 15 2/3 + 18 3/5

22 15/30+15 20/30+18 18/30

 55 53/30

56 23/30

user profile pic

cby | High School Teacher | (Level 1) Adjunct Educator

Posted December 20, 2009 at 3:23 AM (Answer #5)

dislike 0 like

Note:

Many math textbooks will show answers as follows: your answer should always be in the form with which you started.

Example 1: if your problem begins with a mixed number, then your answer should be in a mixed number instead of a fraction.

Example 2: if your problem begins with a fractional exponent, then your answer should be with exponents instead of in radical form.

Example 3: if your problem begins with an radical, then your answer should be with a radical instead of in exponent form.

The exception to these three examples are when the problem reduces to a whole number.

user profile pic

revolution | College Teacher | Valedictorian

Posted July 4, 2010 at 11:23 PM (Answer #6)

dislike 0 like

Change all mixed numbers into mixed numbers:

22 1/2 + 15 2/3 + 18 3/5= 45/2 + 47/3 + 93/5

Next, convert denorminator into common multipe which should be 30

675/30 + 470/30 + 558/30 = 1703/30

= 56 23/30 (mixed number)

user profile pic

atyourservice | TA , Grade 10 | Valedictorian

Posted April 17, 2014 at 11:09 PM (Answer #7)

dislike 0 like

Add up all the whole numbers 22+15+18= 55

then multiply the fractions so that they have the same common denominator (30)

`1/2 xx 15= 15/30`

`2/3xx10 =20/30`

`3/5 xx 6 =18/30`

`15/30 +20/30 +18/30 =53/30 `   which can be simplified into `1 23/30`

`55 + 1=56+ 23/30 = 56/30`

`56 23/30`

user profile pic

zumba96 | Student, Grade 11 | Valedictorian

Posted May 15, 2014 at 11:59 PM (Answer #8)

dislike 0 like

22 1/2 + 15 2/3 + 18 3/5 equals?

Change them all into mixed numbers

45/2 + 47/3 + 93/5 

Find the LCM and multiply 

675/30 + 470/30 + 558/30 = 1703/30 = 56. 76667 or 56 23/30

user profile pic

nisarg | Student, Kindergarten | Valedictorian

Posted July 12, 2014 at 2:21 AM (Answer #9)

dislike 0 like

22 1/2 + 15 2/3 + 18 3/5

`22 15/30 + 15 20/30 + 18 18/30`

`22+15+18+53/30`

`55 53/30`

``

user profile pic

rachellopez | TA , Grade 12 | Valedictorian

Posted August 12, 2014 at 8:40 PM (Answer #10)

dislike 0 like

First off, you can add the whole numbers (22 + 15 + 18) which equals 55. Adding the whole numbers is the easy part, but now you have to get fractions with like denominators. The denominators of 2, 3, and 5 all are divisible by 30. 

1/2*(15/15)=15/30

2/3*(10/10)=20/30

3/5*(6/6)=18/30

Now that you have like denominators, you can add straight across. You now have the single fraction of 53/30, which can be simplified to 1 and 23/30. Add that to your 55 and your final answer is 56 and 23/30. 

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes