find the number one-third of the way from 1/6 to 4/5

What are your choices?

there are no choices.. the answer is (17/45)

just wondering how to get that....

To find the number one-third of the way from 1/6 to 4/5, we can use a method called linear interpolation.

First, let's convert the fractions into decimals. 1/6 is equal to approximately 0.1667, and 4/5 is equal to 0.8.

Next, we calculate the difference between these two decimal values:
0.8 - 0.1667 = 0.6333

To find one-third of this difference, we divide it by 3:
0.6333 รท 3 = 0.2111

Finally, we add this result to the starting value (0.1667) to get the number one-third of the way between 1/6 and 4/5:
0.1667 + 0.2111 = 0.3778

Therefore, the number one-third of the way from 1/6 to 4/5 is approximately 0.3778.