algebra plz help me and explain

Question

find the number that is 3/5 of the way from 14 to 38

Answer 1

3/5 of the way from 14 to 38

To complete problems in this form, I would suggest first find the distance between the two numbers

38 - 14 = 24

Next, use the denominator in the fraction (5), to split the total distance into parts

24 ÷ 5 = 4.8

Next, you need 3 out of 5 parts from 14, so, multiply the part by 3

4.8 x 3 = 14.4

Now you have the value of 3/5, you can add the value to the initial point to find the answer

14 + 14.4 = 28.4

Therefore, 3/5 of the way from 14 to 38 is 28.4

Answer 2

half way from 14 to 38 is the average (14+38)/2 = 52/2 = 26

3/5 is slightly more than 1/2, so 3/5 of the way from 14 to 38 is slightly more than 26

1/10 of the way is (38-14)/10 = 2.4

3/5 = 6/10 = 6(2.4) = 14.4

14.4+ 14 = 28.4 = 3/5 of the way from 14 to 38