Answer:
[tex]19\frac{11}{15}[/tex]
Step-by-step explanation:
We have the problem:
[tex]6\frac{2}{3} *2+3\frac{1}{5} *2[/tex]
6 2/3 can be written as (6 + 2/3), and 3 1/5 can be written as (3 + 1/5). So, we can then use the distributive property:
[tex](6+2/3)*2+(3+1/5)*2=12+4/3+6+2/5=18+4/3+2/5[/tex]
Now, we need to combine the fractions by finding a common denominator. Here, the common denominator is 3 * 5 = 15: [tex]4/3 +2/5=20/15+6/15=26/15=1\frac{11}{15}[/tex]
Finally, we add 18 to 1 11/15: [tex]18+1\frac{11}{15} =19\frac{11}{15}[/tex]
Thus, the answer is [tex]19\frac{11}{15}[/tex].
Hope this helps!
