math question?????

maya makes trail mix by combining 1/3 of cup mixed nuts, 1/4 cup of dried fruit, 1/6 cup of chocolate morsels. What is the total amount of ingredients in her trail mix?

\(\begin{array}{rcll} \frac13+\frac14+\frac16 &=& x \qquad & | \qquad \cdot 3\\\\ 3\cdot \frac13+3\cdot \frac14+3\cdot \frac16 &=& 3\cdot x \\\\ 1+ \frac34+\frac12 &=& 3\cdot x \\\\ 1+ \frac34+\frac12 &=& 3\cdot x \qquad & | \qquad \cdot 4\\\\ 4\cdot 1+ 4\cdot \frac34+4\cdot \frac12 &=& 4\cdot 3\cdot x\\\\ 4+ 3 +2 &=& 12\cdot x\\\\ 9 &=& 12\cdot x\\\\ 12\cdot x &=& 9 \\\\ x &=& \frac{9}{12} \qquad & | \qquad :3\\\\ \mathbf{x} & \mathbf{=} & \mathbf{\frac{3}{4}} \\ \mathbf{\frac13+\frac14+\frac16} &\mathbf{=} & \mathbf{\frac{3}{4}} \end{array}\)

maya makes trail mix by combining 1/3 of cup mixed nuts, 1/4 cup of dried fruit, 1/6 cup of chocolate morsels. What is the total amount of ingredients in her trail mix?

1/3 + 1/4 + 1/6=3/4 of a cup-total amount of ingredients in her trail mix.

Simplify the following:
1/3+1/4+1/6

Put 1/3+1/4+1/6 over the common denominator 12. 1/3+1/4+1/6  =  4/12+3/12+2/12:
4/12+3/12+2/12

4/12+3/12+2/12  =  (4+3+2)/12:
(4+3+2)/12

4+3+2 = 9:
9/12

The gcd of 9 and 12 is 3, so 9/12 = (3×3)/(3×4) = 3/3×3/4 = 3/4:
Answer: | 3/4