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

### 6 Answers | Add Yours

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

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. :-)

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

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.

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)

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`

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes