SOLUTION: Add and express in lowest terms. I need to show all work and not sure how to do this. 4 1/4 + 5 1/9 + 6 1/2.

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Question 392010: Add and express in lowest terms. I need to show all work and not sure how to do this.
4 1/4 + 5 1/9 + 6 1/2.

Found 2 solutions by josmiceli, Earlsdon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The LCD is 36
4 1/4 = 4 9/36
5 1/9 = 5 4/36
6 1/2 = 6 18/36
I can add the fractions and whole numbers separately:
4 + 5 + 6 = 15
9/36 + 4/36 + 18/36 = 31/36
15 31/36 answer

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Add:
41%2F4+51%2F9+61%2F2
Method 1) First, convert all of these mixed numbers to improper fractions.
17%2F4%2B46%2F9%2B13%2F2 Next, find the common denominator (least common multiple of 4, 9, and 2). This will be a number that will be divisible by 2, 4, and 9.
It looks like 36 will. I found this by multiplying 4X9 = 36 and this is divisible by all three numbers.
Convert the improper fractions so they all have the common denominator of 36.
17%289%29%2F4%289%29+%2B+46%284%29%2F9%284%29+%2B+13%2818%29%2F2%2818%29=153%2F36%2B184%2F36%2B234%2F36=571%2F36
Now convert this to a mixed number by diving 571 by 36 and putting the remainder (if there is one) over 36.
1531%2F36
Method 2)
Add the integer parts:
4%2B5%2B6+=+15 Then add the fractional parts using the method above to find the common denominator of 36.
=31%2F36 now add this to the integer sum of 15 to get:
1531%2F36