Calculate the Fraction: Finding Additional Withdrawal to Reach 1/2 from 1/6

To solve this problem, we'll follow these steps:

• Step 1: Identify the total fraction Marcos wants in cash, which is $\frac{1}{2}$ of his money.
• Step 2: Determine the fraction he has already withdrawn, which is $\frac{1}{6}$.
• Step 3: Calculate the additional fraction he needs to withdraw. This is done by subtracting the withdrawn fraction from the desired cash fraction: $\frac{1}{2} - \frac{1}{6}$.

Now, let's perform the calculations:

Step 3:

Convert the fractions $\frac{1}{2}$ and $\frac{1}{6}$ to have a common denominator:

The least common denominator (LCD) of 2 and 6 is 6.

$\frac{1}{2} = \frac{3}{6}$ (since $1 \times 3 = 3$ and $2 \times 3 = 6$)

$\frac{1}{6}$ is already with denominator 6, so it remains $\frac{1}{6}$.

Subtract the two fractions:

$\frac{3}{6} - \frac{1}{6} = \frac{2}{6}$

Simplify $\frac{2}{6}$ by dividing the numerator and the denominator by 2:

$\frac{2}{6} = \frac{1}{3}$

Therefore, Marcos needs to withdraw an additional $\frac{1}{3}$ of his money to have half of his money in cash.

Therefore, the correct answer to the problem is $\frac{1}{3}$.