Question

Evaluate 3/7r + 5/8s when r = 14 and s = 8

The answer is 6+5=11

I don't understand the solution. I am confused as to what I thought was multiplying fractions with whole numbers, which I thought you multiply the variable(whole number) by the numerator, whereas the solution in this case for the numerator is just a repeat of the variable. I've included a wiki post on multiplying fractions with whole numbers.

Answer 1

`(3)/(7)*r + (5)/(8) *s`

let us first plug the values of r and s here

r=14 and s=8

`(3)/(7)*14 + (5)/(8) *8`

Now here we can cancel 14 and 7 as 7*2 =14 , also we can cancel 8 and 8 as 8*1 is 8, so our simplified new form is:

`(3)/(1)*2 + (5)/(1) *1`

Now we can multiply 3*2 and 5*1

3*2 =6

5*1=5

Next we add the two numbers

6+5 =11

So this is how we get the answer 11