a mother wants to divide 680.00 among her children according to the ratio 2:4:6

680/12 = 56.67

2 * 56.67 = 113.34

4 * 56.67 = 226.68

6 * 56.67 = 340.02

Subtract a penny from each because of rounding.

To divide the amount among the children according to the ratio 2:4:6, you need to find the total number of parts the ratio is divided into.

The total number of parts in the ratio is 2 + 4 + 6 = 12.

To find the amount each child receives, you divide the total amount by the total number of parts in the ratio:

680.00 / 12 = 56.67

So, each part of the ratio is equal to 56.67.

Now, to find out how much each child receives, you multiply their respective shares by the value of each part:

The first child receives 2 parts x 56.67 = 113.34
The second child receives 4 parts x 56.67 = 226.68
The third child receives 6 parts x 56.67 = 340.02

Therefore, the first child receives $113.34, the second child receives $226.68, and the third child receives $340.02.

To divide 680.00 among her children according to the ratio 2:4:6, the mother needs to follow these steps:

Step 1: Calculate the total parts in the ratio.
In this case, the ratio has three parts: 2 + 4 + 6 = 12.

Step 2: Determine the value of each part.
To find the value of each part, divide the total amount (680.00) by the total parts (12):
680.00 ÷ 12 = 56.67

Step 3: Multiply each part of the ratio by the value of one part.
Using the ratio 2:4:6, multiply each part by 56.67:
2 parts * 56.67 = 113.34
4 parts * 56.67 = 226.68
6 parts * 56.67 = 340.02

So, the mother should give 113.34 to the first child, 226.68 to the second child, and 340.02 to the third child to divide 680.00 among them according to the given ratio.