Answer:
5[tex]\frac{1}{2}[/tex]
Explanation:
1. Find a common denominator for the three fractions. A common denominator is a number all three numbers divide into evenly. The lowest common denominator for 4, 3, and 6 is 12.
2. Find the numerators. This can be done by multiplying the current numerators by however many times the old denominator goes into the new denominator.
4 goes into 12 3 times
3 goes into 12 4 times
6 goes into 12 2 times
1 x 3 = 3
2 x 4 = 8
1 x 6 = 6
So, the fractions become:
[tex]1\frac{3}{12} + 2\frac{8}{12} + 1\frac{2}{12}[/tex]
3. Add the numerators of the new fractions and keep the denominator the same.
[tex]4 \frac{13}{12}[/tex]
4. Convert the improper fraction to a mixed number.
[tex]1 \frac{1}{12}[/tex]
5. Finally, add the whole numbers.
1 + 4 = 5
