The log was cut into two logs with a length ratio of 3: 7. How much of the original log is the smaller of the logs produced?

Let’s calculate how many parts are the length of the entire log:

3 + 7 = 10 pieces – is the length of the entire log.

Next, we make up a direct proportion, expressing through x the part that is the smaller of the logs obtained, from the original log:

3 – x,

10 – 1.

Now we compose and solve the equation:

x = 3 * 1: 10;

x = 3: 10;

x = 3/10 – is the smaller of the resulting logs, from the original log.

Answer: 3/10.