Dividing 1148 into two parts in the ratio of 11:3

To divide 1148 into two parts in the ratio of 11:3, we need to follow these steps:

1. Find the total ratio
2. Divide the total value by the total ratio
3. Multiply the parts by their respective ratios

Let's break down each step in detail.

1. Find the total ratio

The ratio of 11:3 means that the two parts are in the ratio of 11/3. To find the total ratio, we add the two parts together:

11/3 + 1 = 14/3

2. Divide the total value by the total ratio

To find the value of one part, we divide the total value by the total ratio:

1148 / (14/3) = 264

So each part is worth 264.

3. Multiply the parts by their respective ratios

To find the two parts, we multiply the value of each part by its respective ratio:

11/14 x 264 = 204
3/14 x 264 = 60

Therefore, the two parts are 204 and 60.

Conclusion

To divide a value into two parts in a given ratio, we need to find the total ratio, divide the total value by the total ratio to find the value of one part, and then multiply the value of each part by its respective ratio to find the two parts. In this case, we divided 1148 into two parts in the ratio of 11:3 and found that the two parts are 204 and 60.