A responsible estimate would be 14. You estimate each of the mixed numbers to the nearest whole number: 4 1/8=4 because 1/8 is less than 1/2 so the number stays the same 3 2/3=4 because 2/3 is grater than 1/2 5 1/2 =6 because 1/2 is equal to 1/2 which means you estimate up. So 4+4+6=14
First, mentally add the whole numbers. 4+3+5=12 Now, look at the fractions. 1/8, 2/3, and 1/2. 2/3 is bigger than 1/2, so you can add in another whole number. 12+1=13 1/8 is tiny, and won't add a whole lot to the mix, so just leave that. A reasonable estimate would be 13 1/8