Question

Solve for 'r' in the equation (r/5) = (4/7).

a. r = 20/7
b. r = 5/4
c. r = 28/5
d. r = 35/4

Answer 1

To find the value of 'r' in the equation (r/5) = (4/7), we multiply both sides by 5. This gives us 'r' equal to 20/7 as the correct answer, which is option (a).

Step-by-step explanation:

To solve for 'r' in the equation (r/5) = (4/7), we need to isolate 'r' by performing equivalent operations on both sides of the equation. We multiply both sides by 5 to get rid of the denominator next to 'r', yielding the following steps:

r = (4/7) × 5

To perform the multiplication, we multiply 4 by 5 and keep the denominator as 7:

r = 20/7

So, the correct answer is (a) r = 20/7.