Question

At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?

Answer 1

`(4)/(5)`

Step-by-step explanation:

Data provided in the question

The ratios are

Second graders to the fourth grader is
`(8)/(5)`

First graders to the second grader is
`(3)/(4)`

Third graders to the fourth grader is
`(3)/(2)`

Now if we multiplying these above three ratios but the last ratio should be reverse

So, it would be

=
`(8)/(5)*(3)/(4)*(2)/(3)`

=
`(4)/(5)`

Hence, the ratio of first graders to the third graders is
`(4)/(5)`